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Finding the Fourth Proportional to 3,862.83, 5,780.39 and 3,344.61

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Solution

The fourth proportional to 3,862.83, 5,780.39 and 3,344.61 is: 5,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.83 : 5,780.39 = 3,344.61 : x
  2. Step 2: Convert to fraction form
    3,862.83/5,780.39 = 3,344.61/x
  3. Step 3: Cross multiply
    3,862.83x = 5,780.39 × 3,344.61
  4. Step 4: Simplify right side
    3,862.83x = 19,333,133.47
  5. Step 5: Solve for x
    x = 19,333,133.47/3,862.83
  6. Step 6: Final answer
    x = 5,004.91

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