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Finding the Fourth Proportional to 6,085.57, 8,398.10 and 3,567.17

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Solution

The fourth proportional to 6,085.57, 8,398.10 and 3,567.17 is: 4,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.57 : 8,398.10 = 3,567.17 : x
  2. Step 2: Convert to fraction form
    6,085.57/8,398.10 = 3,567.17/x
  3. Step 3: Cross multiply
    6,085.57x = 8,398.10 × 3,567.17
  4. Step 4: Simplify right side
    6,085.57x = 29,957,453.54
  5. Step 5: Solve for x
    x = 29,957,453.54/6,085.57
  6. Step 6: Final answer
    x = 4,922.70

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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.