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Finding the Fourth Proportional to 6,085.89, 8,398.23 and 3,567.66

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Solution

The fourth proportional to 6,085.89, 8,398.23 and 3,567.66 is: 4,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.89 : 8,398.23 = 3,567.66 : x
  2. Step 2: Convert to fraction form
    6,085.89/8,398.23 = 3,567.66/x
  3. Step 3: Cross multiply
    6,085.89x = 8,398.23 × 3,567.66
  4. Step 4: Simplify right side
    6,085.89x = 29,962,029.24
  5. Step 5: Solve for x
    x = 29,962,029.24/6,085.89
  6. Step 6: Final answer
    x = 4,923.20

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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.