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Finding the Fourth Proportional to 3,767.86, 5,201.01 and 2,445.13

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Solution

The fourth proportional to 3,767.86, 5,201.01 and 2,445.13 is: 3,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.86 : 5,201.01 = 2,445.13 : x
  2. Step 2: Convert to fraction form
    3,767.86/5,201.01 = 2,445.13/x
  3. Step 3: Cross multiply
    3,767.86x = 5,201.01 × 2,445.13
  4. Step 4: Simplify right side
    3,767.86x = 12,717,145.58
  5. Step 5: Solve for x
    x = 12,717,145.58/3,767.86
  6. Step 6: Final answer
    x = 3,375.16

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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.