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Finding the Fourth Proportional to 3,874.64, 5,340.72 and 3,242.96

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Solution

The fourth proportional to 3,874.64, 5,340.72 and 3,242.96 is: 4,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.64 : 5,340.72 = 3,242.96 : x
  2. Step 2: Convert to fraction form
    3,874.64/5,340.72 = 3,242.96/x
  3. Step 3: Cross multiply
    3,874.64x = 5,340.72 × 3,242.96
  4. Step 4: Simplify right side
    3,874.64x = 17,319,741.33
  5. Step 5: Solve for x
    x = 17,319,741.33/3,874.64
  6. Step 6: Final answer
    x = 4,470.03

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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.