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Finding the Fourth Proportional to 5,387.50, 7,434.70 and 3,029.59

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Solution

The fourth proportional to 5,387.50, 7,434.70 and 3,029.59 is: 4,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.50 : 7,434.70 = 3,029.59 : x
  2. Step 2: Convert to fraction form
    5,387.50/7,434.70 = 3,029.59/x
  3. Step 3: Cross multiply
    5,387.50x = 7,434.70 × 3,029.59
  4. Step 4: Simplify right side
    5,387.50x = 22,524,111.53
  5. Step 5: Solve for x
    x = 22,524,111.53/5,387.50
  6. Step 6: Final answer
    x = 4,180.81

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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.