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Finding the Fourth Proportional to 5,282.69, 7,925.34 and 1,584.99

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Solution

The fourth proportional to 5,282.69, 7,925.34 and 1,584.99 is: 2,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.69 : 7,925.34 = 1,584.99 : x
  2. Step 2: Convert to fraction form
    5,282.69/7,925.34 = 1,584.99/x
  3. Step 3: Cross multiply
    5,282.69x = 7,925.34 × 1,584.99
  4. Step 4: Simplify right side
    5,282.69x = 12,561,545.02
  5. Step 5: Solve for x
    x = 12,561,545.02/5,282.69
  6. Step 6: Final answer
    x = 2,377.87

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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.