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Finding the Fourth Proportional to 4,472.40, 6,168.24 and 4,174.32

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Solution

The fourth proportional to 4,472.40, 6,168.24 and 4,174.32 is: 5,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.40 : 6,168.24 = 4,174.32 : x
  2. Step 2: Convert to fraction form
    4,472.40/6,168.24 = 4,174.32/x
  3. Step 3: Cross multiply
    4,472.40x = 6,168.24 × 4,174.32
  4. Step 4: Simplify right side
    4,472.40x = 25,748,207.60
  5. Step 5: Solve for x
    x = 25,748,207.60/4,472.40
  6. Step 6: Final answer
    x = 5,757.13

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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.