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Finding the Fourth Proportional to 5,643,708.86, 7,788,340.50 and 3,065,432.60

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Solution

The fourth proportional to 5,643,708.86, 7,788,340.50 and 3,065,432.60 is: 4,230,309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643,708.86 : 7,788,340.50 = 3,065,432.60 : x
  2. Step 2: Convert to fraction form
    5,643,708.86/7,788,340.50 = 3,065,432.60/x
  3. Step 3: Cross multiply
    5,643,708.86x = 7,788,340.50 × 3,065,432.60
  4. Step 4: Simplify right side
    5,643,708.86x = 23,874,632,868,600.30
  5. Step 5: Solve for x
    x = 23,874,632,868,600.30/5,643,708.86
  6. Step 6: Final answer
    x = 4,230,309.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.