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Finding the Fourth Proportional to 4,429.61, 6,644.42 and 4,158.96

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Solution

The fourth proportional to 4,429.61, 6,644.42 and 4,158.96 is: 6,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429.61 : 6,644.42 = 4,158.96 : x
  2. Step 2: Convert to fraction form
    4,429.61/6,644.42 = 4,158.96/x
  3. Step 3: Cross multiply
    4,429.61x = 6,644.42 × 4,158.96
  4. Step 4: Simplify right side
    4,429.61x = 27,633,891.25
  5. Step 5: Solve for x
    x = 27,633,891.25/4,429.61
  6. Step 6: Final answer
    x = 6,238.45

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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.