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Finding the Fourth Proportional to 4,429.62, 6,646.05 and 1,508.22

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Solution

The fourth proportional to 4,429.62, 6,646.05 and 1,508.22 is: 2,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429.62 : 6,646.05 = 1,508.22 : x
  2. Step 2: Convert to fraction form
    4,429.62/6,646.05 = 1,508.22/x
  3. Step 3: Cross multiply
    4,429.62x = 6,646.05 × 1,508.22
  4. Step 4: Simplify right side
    4,429.62x = 10,023,705.53
  5. Step 5: Solve for x
    x = 10,023,705.53/4,429.62
  6. Step 6: Final answer
    x = 2,262.88

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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.