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Finding the Fourth Proportional to 3,856.93, 5,779.01 and 3,240.92

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Solution

The fourth proportional to 3,856.93, 5,779.01 and 3,240.92 is: 4,856.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.93 : 5,779.01 = 3,240.92 : x
  2. Step 2: Convert to fraction form
    3,856.93/5,779.01 = 3,240.92/x
  3. Step 3: Cross multiply
    3,856.93x = 5,779.01 × 3,240.92
  4. Step 4: Simplify right side
    3,856.93x = 18,729,309.09
  5. Step 5: Solve for x
    x = 18,729,309.09/3,856.93
  6. Step 6: Final answer
    x = 4,856.01

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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.