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Finding the Fourth Proportional to 4,242.32, 6,361.92 and 1,468.28

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Solution

The fourth proportional to 4,242.32, 6,361.92 and 1,468.28 is: 2,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.32 : 6,361.92 = 1,468.28 : x
  2. Step 2: Convert to fraction form
    4,242.32/6,361.92 = 1,468.28/x
  3. Step 3: Cross multiply
    4,242.32x = 6,361.92 × 1,468.28
  4. Step 4: Simplify right side
    4,242.32x = 9,341,079.90
  5. Step 5: Solve for x
    x = 9,341,079.90/4,242.32
  6. Step 6: Final answer
    x = 2,201.88

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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.