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Finding the Fourth Proportional to 3,862.71, 5,795.15 and 1,521.27

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Solution

The fourth proportional to 3,862.71, 5,795.15 and 1,521.27 is: 2,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.71 : 5,795.15 = 1,521.27 : x
  2. Step 2: Convert to fraction form
    3,862.71/5,795.15 = 1,521.27/x
  3. Step 3: Cross multiply
    3,862.71x = 5,795.15 × 1,521.27
  4. Step 4: Simplify right side
    3,862.71x = 8,815,980.23
  5. Step 5: Solve for x
    x = 8,815,980.23/3,862.71
  6. Step 6: Final answer
    x = 2,282.33

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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.