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Finding the Fourth Proportional to 3,516.12, 5,274.18 and 1,294.92

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Solution

The fourth proportional to 3,516.12, 5,274.18 and 1,294.92 is: 1,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.12 : 5,274.18 = 1,294.92 : x
  2. Step 2: Convert to fraction form
    3,516.12/5,274.18 = 1,294.92/x
  3. Step 3: Cross multiply
    3,516.12x = 5,274.18 × 1,294.92
  4. Step 4: Simplify right side
    3,516.12x = 6,829,641.17
  5. Step 5: Solve for x
    x = 6,829,641.17/3,516.12
  6. Step 6: Final answer
    x = 1,942.38

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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.