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Finding the Fourth Proportional to 4,314.96, 5,952.24 and 2,989.44

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Solution

The fourth proportional to 4,314.96, 5,952.24 and 2,989.44 is: 4,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.96 : 5,952.24 = 2,989.44 : x
  2. Step 2: Convert to fraction form
    4,314.96/5,952.24 = 2,989.44/x
  3. Step 3: Cross multiply
    4,314.96x = 5,952.24 × 2,989.44
  4. Step 4: Simplify right side
    4,314.96x = 17,793,864.35
  5. Step 5: Solve for x
    x = 17,793,864.35/4,314.96
  6. Step 6: Final answer
    x = 4,123.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.