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Finding the Fourth Proportional to 4,871.92, 7,306.32 and 1,584.22

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Solution

The fourth proportional to 4,871.92, 7,306.32 and 1,584.22 is: 2,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.92 : 7,306.32 = 1,584.22 : x
  2. Step 2: Convert to fraction form
    4,871.92/7,306.32 = 1,584.22/x
  3. Step 3: Cross multiply
    4,871.92x = 7,306.32 × 1,584.22
  4. Step 4: Simplify right side
    4,871.92x = 11,574,818.27
  5. Step 5: Solve for x
    x = 11,574,818.27/4,871.92
  6. Step 6: Final answer
    x = 2,375.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.