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Finding the Fourth Proportional to 7,729.50, 11,592.90 and 3,569.15

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Solution

The fourth proportional to 7,729.50, 11,592.90 and 3,569.15 is: 5,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.50 : 11,592.90 = 3,569.15 : x
  2. Step 2: Convert to fraction form
    7,729.50/11,592.90 = 3,569.15/x
  3. Step 3: Cross multiply
    7,729.50x = 11,592.90 × 3,569.15
  4. Step 4: Simplify right side
    7,729.50x = 41,376,799.04
  5. Step 5: Solve for x
    x = 41,376,799.04/7,729.50
  6. Step 6: Final answer
    x = 5,353.10

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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.