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Finding the Fourth Proportional to 4,540.97, 6,810.01 and 1,462.25

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Solution

The fourth proportional to 4,540.97, 6,810.01 and 1,462.25 is: 2,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.97 : 6,810.01 = 1,462.25 : x
  2. Step 2: Convert to fraction form
    4,540.97/6,810.01 = 1,462.25/x
  3. Step 3: Cross multiply
    4,540.97x = 6,810.01 × 1,462.25
  4. Step 4: Simplify right side
    4,540.97x = 9,957,937.12
  5. Step 5: Solve for x
    x = 9,957,937.12/4,540.97
  6. Step 6: Final answer
    x = 2,192.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.