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Finding the Fourth Proportional to 5,411.59, 8,113.42 and 1,711.75

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Solution

The fourth proportional to 5,411.59, 8,113.42 and 1,711.75 is: 2,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.59 : 8,113.42 = 1,711.75 : x
  2. Step 2: Convert to fraction form
    5,411.59/8,113.42 = 1,711.75/x
  3. Step 3: Cross multiply
    5,411.59x = 8,113.42 × 1,711.75
  4. Step 4: Simplify right side
    5,411.59x = 13,888,128.54
  5. Step 5: Solve for x
    x = 13,888,128.54/5,411.59
  6. Step 6: Final answer
    x = 2,566.37

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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.