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Finding the Fourth Proportional to 4,972.42, 6,862.14 and 2,982.25

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Solution

The fourth proportional to 4,972.42, 6,862.14 and 2,982.25 is: 4,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.42 : 6,862.14 = 2,982.25 : x
  2. Step 2: Convert to fraction form
    4,972.42/6,862.14 = 2,982.25/x
  3. Step 3: Cross multiply
    4,972.42x = 6,862.14 × 2,982.25
  4. Step 4: Simplify right side
    4,972.42x = 20,464,567.79
  5. Step 5: Solve for x
    x = 20,464,567.79/4,972.42
  6. Step 6: Final answer
    x = 4,115.62

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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.