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Finding the Fourth Proportional to 3,640.64, 5,459.61 and 2,476.97

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Solution

The fourth proportional to 3,640.64, 5,459.61 and 2,476.97 is: 3,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.64 : 5,459.61 = 2,476.97 : x
  2. Step 2: Convert to fraction form
    3,640.64/5,459.61 = 2,476.97/x
  3. Step 3: Cross multiply
    3,640.64x = 5,459.61 × 2,476.97
  4. Step 4: Simplify right side
    3,640.64x = 13,523,290.18
  5. Step 5: Solve for x
    x = 13,523,290.18/3,640.64
  6. Step 6: Final answer
    x = 3,714.54

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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.