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Finding the Fourth Proportional to 3,688.69, 5,532.95 and 915.36

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Solution

The fourth proportional to 3,688.69, 5,532.95 and 915.36 is: 1,373.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.69 : 5,532.95 = 915.36 : x
  2. Step 2: Convert to fraction form
    3,688.69/5,532.95 = 915.36/x
  3. Step 3: Cross multiply
    3,688.69x = 5,532.95 × 915.36
  4. Step 4: Simplify right side
    3,688.69x = 5,064,641.11
  5. Step 5: Solve for x
    x = 5,064,641.11/3,688.69
  6. Step 6: Final answer
    x = 1,373.02

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