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Finding the Fourth Proportional to 5,854.87, 8,785.77 and 2,159.70

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Solution

The fourth proportional to 5,854.87, 8,785.77 and 2,159.70 is: 3,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.87 : 8,785.77 = 2,159.70 : x
  2. Step 2: Convert to fraction form
    5,854.87/8,785.77 = 2,159.70/x
  3. Step 3: Cross multiply
    5,854.87x = 8,785.77 × 2,159.70
  4. Step 4: Simplify right side
    5,854.87x = 18,974,627.47
  5. Step 5: Solve for x
    x = 18,974,627.47/5,854.87
  6. Step 6: Final answer
    x = 3,240.83

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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.