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Finding the Fourth Proportional to 5,462.20, 7,537.84 and 2,978.20

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Solution

The fourth proportional to 5,462.20, 7,537.84 and 2,978.20 is: 4,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.20 : 7,537.84 = 2,978.20 : x
  2. Step 2: Convert to fraction form
    5,462.20/7,537.84 = 2,978.20/x
  3. Step 3: Cross multiply
    5,462.20x = 7,537.84 × 2,978.20
  4. Step 4: Simplify right side
    5,462.20x = 22,449,195.09
  5. Step 5: Solve for x
    x = 22,449,195.09/5,462.20
  6. Step 6: Final answer
    x = 4,109.92

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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.