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Finding the Fourth Proportional to 4,963.42, 6,854.16 and 3,198.10

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Solution

The fourth proportional to 4,963.42, 6,854.16 and 3,198.10 is: 4,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.42 : 6,854.16 = 3,198.10 : x
  2. Step 2: Convert to fraction form
    4,963.42/6,854.16 = 3,198.10/x
  3. Step 3: Cross multiply
    4,963.42x = 6,854.16 × 3,198.10
  4. Step 4: Simplify right side
    4,963.42x = 21,920,289.10
  5. Step 5: Solve for x
    x = 21,920,289.10/4,963.42
  6. Step 6: Final answer
    x = 4,416.37

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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.