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Finding the Fourth Proportional to 5,660.13, 7,805.85 and 3,535.85

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Solution

The fourth proportional to 5,660.13, 7,805.85 and 3,535.85 is: 4,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.13 : 7,805.85 = 3,535.85 : x
  2. Step 2: Convert to fraction form
    5,660.13/7,805.85 = 3,535.85/x
  3. Step 3: Cross multiply
    5,660.13x = 7,805.85 × 3,535.85
  4. Step 4: Simplify right side
    5,660.13x = 27,600,340.87
  5. Step 5: Solve for x
    x = 27,600,340.87/5,660.13
  6. Step 6: Final answer
    x = 4,876.27

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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.