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Finding the Fourth Proportional to 3,534.14, 5,302.07 and 2,496.17

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Solution

The fourth proportional to 3,534.14, 5,302.07 and 2,496.17 is: 3,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.14 : 5,302.07 = 2,496.17 : x
  2. Step 2: Convert to fraction form
    3,534.14/5,302.07 = 2,496.17/x
  3. Step 3: Cross multiply
    3,534.14x = 5,302.07 × 2,496.17
  4. Step 4: Simplify right side
    3,534.14x = 13,234,868.07
  5. Step 5: Solve for x
    x = 13,234,868.07/3,534.14
  6. Step 6: Final answer
    x = 3,744.86

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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.