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Finding the Fourth Proportional to 4,229.66, 6,342.92 and 1,455.56

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Solution

The fourth proportional to 4,229.66, 6,342.92 and 1,455.56 is: 2,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.66 : 6,342.92 = 1,455.56 : x
  2. Step 2: Convert to fraction form
    4,229.66/6,342.92 = 1,455.56/x
  3. Step 3: Cross multiply
    4,229.66x = 6,342.92 × 1,455.56
  4. Step 4: Simplify right side
    4,229.66x = 9,232,493.36
  5. Step 5: Solve for x
    x = 9,232,493.36/4,229.66
  6. Step 6: Final answer
    x = 2,182.80

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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.