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Finding the Fourth Proportional to 4,238.32, 6,355.88 and 1,464.22

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Solution

The fourth proportional to 4,238.32, 6,355.88 and 1,464.22 is: 2,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.32 : 6,355.88 = 1,464.22 : x
  2. Step 2: Convert to fraction form
    4,238.32/6,355.88 = 1,464.22/x
  3. Step 3: Cross multiply
    4,238.32x = 6,355.88 × 1,464.22
  4. Step 4: Simplify right side
    4,238.32x = 9,306,406.61
  5. Step 5: Solve for x
    x = 9,306,406.61/4,238.32
  6. Step 6: Final answer
    x = 2,195.78

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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.