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Finding the Fourth Proportional to 5,679.29, 7,829.18 and 3,689.12

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Solution

The fourth proportional to 5,679.29, 7,829.18 and 3,689.12 is: 5,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.29 : 7,829.18 = 3,689.12 : x
  2. Step 2: Convert to fraction form
    5,679.29/7,829.18 = 3,689.12/x
  3. Step 3: Cross multiply
    5,679.29x = 7,829.18 × 3,689.12
  4. Step 4: Simplify right side
    5,679.29x = 28,882,784.52
  5. Step 5: Solve for x
    x = 28,882,784.52/5,679.29
  6. Step 6: Final answer
    x = 5,085.63

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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.