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Finding the Fourth Proportional to 5,854.59, 8,079.44 and 3,202.16

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Solution

The fourth proportional to 5,854.59, 8,079.44 and 3,202.16 is: 4,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.59 : 8,079.44 = 3,202.16 : x
  2. Step 2: Convert to fraction form
    5,854.59/8,079.44 = 3,202.16/x
  3. Step 3: Cross multiply
    5,854.59x = 8,079.44 × 3,202.16
  4. Step 4: Simplify right side
    5,854.59x = 25,871,603.18
  5. Step 5: Solve for x
    x = 25,871,603.18/5,854.59
  6. Step 6: Final answer
    x = 4,419.03

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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.