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Finding the Fourth Proportional to 3,900.04, 5,381.86 and 2,856.52

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Solution

The fourth proportional to 3,900.04, 5,381.86 and 2,856.52 is: 3,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.04 : 5,381.86 = 2,856.52 : x
  2. Step 2: Convert to fraction form
    3,900.04/5,381.86 = 2,856.52/x
  3. Step 3: Cross multiply
    3,900.04x = 5,381.86 × 2,856.52
  4. Step 4: Simplify right side
    3,900.04x = 15,373,390.73
  5. Step 5: Solve for x
    x = 15,373,390.73/3,900.04
  6. Step 6: Final answer
    x = 3,941.85

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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.