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Finding the Fourth Proportional to 5,411.88, 8,118.14 and 1,516.59

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Solution

The fourth proportional to 5,411.88, 8,118.14 and 1,516.59 is: 2,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.88 : 8,118.14 = 1,516.59 : x
  2. Step 2: Convert to fraction form
    5,411.88/8,118.14 = 1,516.59/x
  3. Step 3: Cross multiply
    5,411.88x = 8,118.14 × 1,516.59
  4. Step 4: Simplify right side
    5,411.88x = 12,311,882.36
  5. Step 5: Solve for x
    x = 12,311,882.36/5,411.88
  6. Step 6: Final answer
    x = 2,274.97

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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.