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Finding the Fourth Proportional to 6,474.57, 8,934.69 and 3,642.07

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Solution

The fourth proportional to 6,474.57, 8,934.69 and 3,642.07 is: 5,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.57 : 8,934.69 = 3,642.07 : x
  2. Step 2: Convert to fraction form
    6,474.57/8,934.69 = 3,642.07/x
  3. Step 3: Cross multiply
    6,474.57x = 8,934.69 × 3,642.07
  4. Step 4: Simplify right side
    6,474.57x = 32,540,766.41
  5. Step 5: Solve for x
    x = 32,540,766.41/6,474.57
  6. Step 6: Final answer
    x = 5,025.93

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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.