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Finding the Fourth Proportional to 5,752.92, 8,635.78 and 2,978.84

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Solution

The fourth proportional to 5,752.92, 8,635.78 and 2,978.84 is: 4,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.92 : 8,635.78 = 2,978.84 : x
  2. Step 2: Convert to fraction form
    5,752.92/8,635.78 = 2,978.84/x
  3. Step 3: Cross multiply
    5,752.92x = 8,635.78 × 2,978.84
  4. Step 4: Simplify right side
    5,752.92x = 25,724,623.83
  5. Step 5: Solve for x
    x = 25,724,623.83/5,752.92
  6. Step 6: Final answer
    x = 4,471.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.