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Finding the Fourth Proportional to 6,930.57, 10,390.38 and 3,641.88

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Solution

The fourth proportional to 6,930.57, 10,390.38 and 3,641.88 is: 5,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.57 : 10,390.38 = 3,641.88 : x
  2. Step 2: Convert to fraction form
    6,930.57/10,390.38 = 3,641.88/x
  3. Step 3: Cross multiply
    6,930.57x = 10,390.38 × 3,641.88
  4. Step 4: Simplify right side
    6,930.57x = 37,840,517.11
  5. Step 5: Solve for x
    x = 37,840,517.11/6,930.57
  6. Step 6: Final answer
    x = 5,459.94

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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.