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Finding the Fourth Proportional to 5,701.98, 7,868 and 3,184.22

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Solution

The fourth proportional to 5,701.98, 7,868 and 3,184.22 is: 4,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.98 : 7,868 = 3,184.22 : x
  2. Step 2: Convert to fraction form
    5,701.98/7,868 = 3,184.22/x
  3. Step 3: Cross multiply
    5,701.98x = 7,868 × 3,184.22
  4. Step 4: Simplify right side
    5,701.98x = 25,053,442.96
  5. Step 5: Solve for x
    x = 25,053,442.96/5,701.98
  6. Step 6: Final answer
    x = 4,393.81

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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.