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Finding the Fourth Proportional to 4,225.92, 6,339.47 and 1,304.46

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Solution

The fourth proportional to 4,225.92, 6,339.47 and 1,304.46 is: 1,956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.92 : 6,339.47 = 1,304.46 : x
  2. Step 2: Convert to fraction form
    4,225.92/6,339.47 = 1,304.46/x
  3. Step 3: Cross multiply
    4,225.92x = 6,339.47 × 1,304.46
  4. Step 4: Simplify right side
    4,225.92x = 8,269,585.04
  5. Step 5: Solve for x
    x = 8,269,585.04/4,225.92
  6. Step 6: Final answer
    x = 1,956.87

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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.