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Finding the Fourth Proportional to 5,628.50, 8,436.99 and 2,343.50

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Solution

The fourth proportional to 5,628.50, 8,436.99 and 2,343.50 is: 3,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.50 : 8,436.99 = 2,343.50 : x
  2. Step 2: Convert to fraction form
    5,628.50/8,436.99 = 2,343.50/x
  3. Step 3: Cross multiply
    5,628.50x = 8,436.99 × 2,343.50
  4. Step 4: Simplify right side
    5,628.50x = 19,772,086.07
  5. Step 5: Solve for x
    x = 19,772,086.07/5,628.50
  6. Step 6: Final answer
    x = 3,512.85

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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.