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Finding the Fourth Proportional to 3,641.75, 5,464.79 and 3,411.13

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Solution

The fourth proportional to 3,641.75, 5,464.79 and 3,411.13 is: 5,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.75 : 5,464.79 = 3,411.13 : x
  2. Step 2: Convert to fraction form
    3,641.75/5,464.79 = 3,411.13/x
  3. Step 3: Cross multiply
    3,641.75x = 5,464.79 × 3,411.13
  4. Step 4: Simplify right side
    3,641.75x = 18,641,130.87
  5. Step 5: Solve for x
    x = 18,641,130.87/3,641.75
  6. Step 6: Final answer
    x = 5,118.72

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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.