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Finding the Fourth Proportional to 5,648.70, 7,797.96 and 3,761.40

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Solution

The fourth proportional to 5,648.70, 7,797.96 and 3,761.40 is: 5,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.70 : 7,797.96 = 3,761.40 : x
  2. Step 2: Convert to fraction form
    5,648.70/7,797.96 = 3,761.40/x
  3. Step 3: Cross multiply
    5,648.70x = 7,797.96 × 3,761.40
  4. Step 4: Simplify right side
    5,648.70x = 29,331,246.74
  5. Step 5: Solve for x
    x = 29,331,246.74/5,648.70
  6. Step 6: Final answer
    x = 5,192.57

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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.