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Finding the Fourth Proportional to 6,302.34, 8,691.57 and 3,944.70

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Solution

The fourth proportional to 6,302.34, 8,691.57 and 3,944.70 is: 5,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.34 : 8,691.57 = 3,944.70 : x
  2. Step 2: Convert to fraction form
    6,302.34/8,691.57 = 3,944.70/x
  3. Step 3: Cross multiply
    6,302.34x = 8,691.57 × 3,944.70
  4. Step 4: Simplify right side
    6,302.34x = 34,285,636.18
  5. Step 5: Solve for x
    x = 34,285,636.18/6,302.34
  6. Step 6: Final answer
    x = 5,440.14

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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.