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Finding the Fourth Proportional to 5,616.40, 8,432.70 and 4,239.40

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Solution

The fourth proportional to 5,616.40, 8,432.70 and 4,239.40 is: 6,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.40 : 8,432.70 = 4,239.40 : x
  2. Step 2: Convert to fraction form
    5,616.40/8,432.70 = 4,239.40/x
  3. Step 3: Cross multiply
    5,616.40x = 8,432.70 × 4,239.40
  4. Step 4: Simplify right side
    5,616.40x = 35,749,588.38
  5. Step 5: Solve for x
    x = 35,749,588.38/5,616.40
  6. Step 6: Final answer
    x = 6,365.21

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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.