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Finding the Fourth Proportional to 5,854.56, 8,079.41 and 3,202.14

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Solution

The fourth proportional to 5,854.56, 8,079.41 and 3,202.14 is: 4,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.56 : 8,079.41 = 3,202.14 : x
  2. Step 2: Convert to fraction form
    5,854.56/8,079.41 = 3,202.14/x
  3. Step 3: Cross multiply
    5,854.56x = 8,079.41 × 3,202.14
  4. Step 4: Simplify right side
    5,854.56x = 25,871,381.74
  5. Step 5: Solve for x
    x = 25,871,381.74/5,854.56
  6. Step 6: Final answer
    x = 4,419.02

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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.