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Finding the Fourth Proportional to 5,411.70, 8,117.01 and 1,516.14

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Solution

The fourth proportional to 5,411.70, 8,117.01 and 1,516.14 is: 2,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.70 : 8,117.01 = 1,516.14 : x
  2. Step 2: Convert to fraction form
    5,411.70/8,117.01 = 1,516.14/x
  3. Step 3: Cross multiply
    5,411.70x = 8,117.01 × 1,516.14
  4. Step 4: Simplify right side
    5,411.70x = 12,306,523.54
  5. Step 5: Solve for x
    x = 12,306,523.54/5,411.70
  6. Step 6: Final answer
    x = 2,274.06

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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.