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Finding the Fourth Proportional to 5,439, 7,510.40 and 4,092.29

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Solution

The fourth proportional to 5,439, 7,510.40 and 4,092.29 is: 5,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439 : 7,510.40 = 4,092.29 : x
  2. Step 2: Convert to fraction form
    5,439/7,510.40 = 4,092.29/x
  3. Step 3: Cross multiply
    5,439x = 7,510.40 × 4,092.29
  4. Step 4: Simplify right side
    5,439x = 30,734,676.80
  5. Step 5: Solve for x
    x = 30,734,676.80/5,439
  6. Step 6: Final answer
    x = 5,650.80

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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.