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Finding the Fourth Proportional to 5,387.70, 7,434.78 and 3,029.78

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Solution

The fourth proportional to 5,387.70, 7,434.78 and 3,029.78 is: 4,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.70 : 7,434.78 = 3,029.78 : x
  2. Step 2: Convert to fraction form
    5,387.70/7,434.78 = 3,029.78/x
  3. Step 3: Cross multiply
    5,387.70x = 7,434.78 × 3,029.78
  4. Step 4: Simplify right side
    5,387.70x = 22,525,747.75
  5. Step 5: Solve for x
    x = 22,525,747.75/5,387.70
  6. Step 6: Final answer
    x = 4,180.96

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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.