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Finding the Fourth Proportional to 6,340.52, 8,749.68 and 3,546.56

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Solution

The fourth proportional to 6,340.52, 8,749.68 and 3,546.56 is: 4,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.52 : 8,749.68 = 3,546.56 : x
  2. Step 2: Convert to fraction form
    6,340.52/8,749.68 = 3,546.56/x
  3. Step 3: Cross multiply
    6,340.52x = 8,749.68 × 3,546.56
  4. Step 4: Simplify right side
    6,340.52x = 31,031,265.10
  5. Step 5: Solve for x
    x = 31,031,265.10/6,340.52
  6. Step 6: Final answer
    x = 4,894.12

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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.