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Finding the Fourth Proportional to 4,297.60, 6,446.31 and 2,324.17

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Solution

The fourth proportional to 4,297.60, 6,446.31 and 2,324.17 is: 3,486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.60 : 6,446.31 = 2,324.17 : x
  2. Step 2: Convert to fraction form
    4,297.60/6,446.31 = 2,324.17/x
  3. Step 3: Cross multiply
    4,297.60x = 6,446.31 × 2,324.17
  4. Step 4: Simplify right side
    4,297.60x = 14,982,320.31
  5. Step 5: Solve for x
    x = 14,982,320.31/4,297.60
  6. Step 6: Final answer
    x = 3,486.21

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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.