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Finding the Fourth Proportional to 5,411.74, 8,101.17 and 3,465.31

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Solution

The fourth proportional to 5,411.74, 8,101.17 and 3,465.31 is: 5,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.74 : 8,101.17 = 3,465.31 : x
  2. Step 2: Convert to fraction form
    5,411.74/8,101.17 = 3,465.31/x
  3. Step 3: Cross multiply
    5,411.74x = 8,101.17 × 3,465.31
  4. Step 4: Simplify right side
    5,411.74x = 28,073,065.41
  5. Step 5: Solve for x
    x = 28,073,065.41/5,411.74
  6. Step 6: Final answer
    x = 5,187.44

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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.