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Finding the Fourth Proportional to 3,856.29, 5,323.04 and 2,343.87

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Solution

The fourth proportional to 3,856.29, 5,323.04 and 2,343.87 is: 3,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.29 : 5,323.04 = 2,343.87 : x
  2. Step 2: Convert to fraction form
    3,856.29/5,323.04 = 2,343.87/x
  3. Step 3: Cross multiply
    3,856.29x = 5,323.04 × 2,343.87
  4. Step 4: Simplify right side
    3,856.29x = 12,476,502.05
  5. Step 5: Solve for x
    x = 12,476,502.05/3,856.29
  6. Step 6: Final answer
    x = 3,235.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.