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Finding the Fourth Proportional to 3,534.92, 5,302.38 and 2,436

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Solution

The fourth proportional to 3,534.92, 5,302.38 and 2,436 is: 3,654

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.92 : 5,302.38 = 2,436 : x
  2. Step 2: Convert to fraction form
    3,534.92/5,302.38 = 2,436/x
  3. Step 3: Cross multiply
    3,534.92x = 5,302.38 × 2,436
  4. Step 4: Simplify right side
    3,534.92x = 12,916,597.68
  5. Step 5: Solve for x
    x = 12,916,597.68/3,534.92
  6. Step 6: Final answer
    x = 3,654

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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.