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Finding the Fourth Proportional to 5,660.67, 7,815.36 and 3,644.97

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Solution

The fourth proportional to 5,660.67, 7,815.36 and 3,644.97 is: 5,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.67 : 7,815.36 = 3,644.97 : x
  2. Step 2: Convert to fraction form
    5,660.67/7,815.36 = 3,644.97/x
  3. Step 3: Cross multiply
    5,660.67x = 7,815.36 × 3,644.97
  4. Step 4: Simplify right side
    5,660.67x = 28,486,752.74
  5. Step 5: Solve for x
    x = 28,486,752.74/5,660.67
  6. Step 6: Final answer
    x = 5,032.40

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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.