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Finding the Fourth Proportional to 5,641.64, 8,464.20 and 2,524.26

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Solution

The fourth proportional to 5,641.64, 8,464.20 and 2,524.26 is: 3,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.64 : 8,464.20 = 2,524.26 : x
  2. Step 2: Convert to fraction form
    5,641.64/8,464.20 = 2,524.26/x
  3. Step 3: Cross multiply
    5,641.64x = 8,464.20 × 2,524.26
  4. Step 4: Simplify right side
    5,641.64x = 21,365,841.49
  5. Step 5: Solve for x
    x = 21,365,841.49/5,641.64
  6. Step 6: Final answer
    x = 3,787.17

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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.