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Finding the Fourth Proportional to 5,834.68, 8,052.02 and 3,566.39

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Solution

The fourth proportional to 5,834.68, 8,052.02 and 3,566.39 is: 4,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.68 : 8,052.02 = 3,566.39 : x
  2. Step 2: Convert to fraction form
    5,834.68/8,052.02 = 3,566.39/x
  3. Step 3: Cross multiply
    5,834.68x = 8,052.02 × 3,566.39
  4. Step 4: Simplify right side
    5,834.68x = 28,716,585.52
  5. Step 5: Solve for x
    x = 28,716,585.52/5,834.68
  6. Step 6: Final answer
    x = 4,921.71

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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.