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Finding the Fourth Proportional to 3,862.07, 5,779.27 and 3,343.87

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Solution

The fourth proportional to 3,862.07, 5,779.27 and 3,343.87 is: 5,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.07 : 5,779.27 = 3,343.87 : x
  2. Step 2: Convert to fraction form
    3,862.07/5,779.27 = 3,343.87/x
  3. Step 3: Cross multiply
    3,862.07x = 5,779.27 × 3,343.87
  4. Step 4: Simplify right side
    3,862.07x = 19,325,104.77
  5. Step 5: Solve for x
    x = 19,325,104.77/3,862.07
  6. Step 6: Final answer
    x = 5,003.82

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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.