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Finding the Fourth Proportional to 3,760.57, 5,641.37 and 1,568.79

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Solution

The fourth proportional to 3,760.57, 5,641.37 and 1,568.79 is: 2,353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.57 : 5,641.37 = 1,568.79 : x
  2. Step 2: Convert to fraction form
    3,760.57/5,641.37 = 1,568.79/x
  3. Step 3: Cross multiply
    3,760.57x = 5,641.37 × 1,568.79
  4. Step 4: Simplify right side
    3,760.57x = 8,850,124.84
  5. Step 5: Solve for x
    x = 8,850,124.84/3,760.57
  6. Step 6: Final answer
    x = 2,353.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.