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Finding the Fourth Proportional to 5,436, 7,496.87 and 3,670

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Solution

The fourth proportional to 5,436, 7,496.87 and 3,670 is: 5,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436 : 7,496.87 = 3,670 : x
  2. Step 2: Convert to fraction form
    5,436/7,496.87 = 3,670/x
  3. Step 3: Cross multiply
    5,436x = 7,496.87 × 3,670
  4. Step 4: Simplify right side
    5,436x = 27,513,512.90
  5. Step 5: Solve for x
    x = 27,513,512.90/5,436
  6. Step 6: Final answer
    x = 5,061.35

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