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Finding the Fourth Proportional to 4,312.40, 5,934 and 4,183.92

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Solution

The fourth proportional to 4,312.40, 5,934 and 4,183.92 is: 5,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.40 : 5,934 = 4,183.92 : x
  2. Step 2: Convert to fraction form
    4,312.40/5,934 = 4,183.92/x
  3. Step 3: Cross multiply
    4,312.40x = 5,934 × 4,183.92
  4. Step 4: Simplify right side
    4,312.40x = 24,827,381.28
  5. Step 5: Solve for x
    x = 24,827,381.28/4,312.40
  6. Step 6: Final answer
    x = 5,757.21

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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.