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Finding the Fourth Proportional to 3,763.78, 5,188.60 and 2,641.24

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Solution

The fourth proportional to 3,763.78, 5,188.60 and 2,641.24 is: 3,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.78 : 5,188.60 = 2,641.24 : x
  2. Step 2: Convert to fraction form
    3,763.78/5,188.60 = 2,641.24/x
  3. Step 3: Cross multiply
    3,763.78x = 5,188.60 × 2,641.24
  4. Step 4: Simplify right side
    3,763.78x = 13,704,337.86
  5. Step 5: Solve for x
    x = 13,704,337.86/3,763.78
  6. Step 6: Final answer
    x = 3,641.11

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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.