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Finding the Fourth Proportional to 5,856.96, 8,785.71 and 4,074.57

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Solution

The fourth proportional to 5,856.96, 8,785.71 and 4,074.57 is: 6,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.96 : 8,785.71 = 4,074.57 : x
  2. Step 2: Convert to fraction form
    5,856.96/8,785.71 = 4,074.57/x
  3. Step 3: Cross multiply
    5,856.96x = 8,785.71 × 4,074.57
  4. Step 4: Simplify right side
    5,856.96x = 35,797,990.39
  5. Step 5: Solve for x
    x = 35,797,990.39/5,856.96
  6. Step 6: Final answer
    x = 6,112.04

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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.