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Finding the Fourth Proportional to 3,862.80, 5,795.89 and 1,524.51

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Solution

The fourth proportional to 3,862.80, 5,795.89 and 1,524.51 is: 2,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.80 : 5,795.89 = 1,524.51 : x
  2. Step 2: Convert to fraction form
    3,862.80/5,795.89 = 1,524.51/x
  3. Step 3: Cross multiply
    3,862.80x = 5,795.89 × 1,524.51
  4. Step 4: Simplify right side
    3,862.80x = 8,835,888.45
  5. Step 5: Solve for x
    x = 8,835,888.45/3,862.80
  6. Step 6: Final answer
    x = 2,287.43

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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.