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Finding the Fourth Proportional to 6,426.52, 8,868.66 and 3,942.52

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Solution

The fourth proportional to 6,426.52, 8,868.66 and 3,942.52 is: 5,440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.52 : 8,868.66 = 3,942.52 : x
  2. Step 2: Convert to fraction form
    6,426.52/8,868.66 = 3,942.52/x
  3. Step 3: Cross multiply
    6,426.52x = 8,868.66 × 3,942.52
  4. Step 4: Simplify right side
    6,426.52x = 34,964,869.42
  5. Step 5: Solve for x
    x = 34,964,869.42/6,426.52
  6. Step 6: Final answer
    x = 5,440.72

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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.