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Finding the Fourth Proportional to 3,626.88, 5,006.16 and 2,301.60

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Solution

The fourth proportional to 3,626.88, 5,006.16 and 2,301.60 is: 3,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.88 : 5,006.16 = 2,301.60 : x
  2. Step 2: Convert to fraction form
    3,626.88/5,006.16 = 2,301.60/x
  3. Step 3: Cross multiply
    3,626.88x = 5,006.16 × 2,301.60
  4. Step 4: Simplify right side
    3,626.88x = 11,522,177.86
  5. Step 5: Solve for x
    x = 11,522,177.86/3,626.88
  6. Step 6: Final answer
    x = 3,176.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.