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Finding the Fourth Proportional to 5,854.30, 8,785.53 and 2,568.33

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Solution

The fourth proportional to 5,854.30, 8,785.53 and 2,568.33 is: 3,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.30 : 8,785.53 = 2,568.33 : x
  2. Step 2: Convert to fraction form
    5,854.30/8,785.53 = 2,568.33/x
  3. Step 3: Cross multiply
    5,854.30x = 8,785.53 × 2,568.33
  4. Step 4: Simplify right side
    5,854.30x = 22,564,140.26
  5. Step 5: Solve for x
    x = 22,564,140.26/5,854.30
  6. Step 6: Final answer
    x = 3,854.29

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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.