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Finding the Fourth Proportional to 3,862.91, 5,783.40 and 2,542.68

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Solution

The fourth proportional to 3,862.91, 5,783.40 and 2,542.68 is: 3,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.91 : 5,783.40 = 2,542.68 : x
  2. Step 2: Convert to fraction form
    3,862.91/5,783.40 = 2,542.68/x
  3. Step 3: Cross multiply
    3,862.91x = 5,783.40 × 2,542.68
  4. Step 4: Simplify right side
    3,862.91x = 14,705,335.51
  5. Step 5: Solve for x
    x = 14,705,335.51/3,862.91
  6. Step 6: Final answer
    x = 3,806.81

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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.