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Finding the Fourth Proportional to 5,282.74, 7,924.10 and 1,584.96

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Solution

The fourth proportional to 5,282.74, 7,924.10 and 1,584.96 is: 2,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.74 : 7,924.10 = 1,584.96 : x
  2. Step 2: Convert to fraction form
    5,282.74/7,924.10 = 1,584.96/x
  3. Step 3: Cross multiply
    5,282.74x = 7,924.10 × 1,584.96
  4. Step 4: Simplify right side
    5,282.74x = 12,559,397.38
  5. Step 5: Solve for x
    x = 12,559,397.38/5,282.74
  6. Step 6: Final answer
    x = 2,377.44

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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.