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Finding the Fourth Proportional to 4,097.80, 6,132.30 and 2,801.80

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Solution

The fourth proportional to 4,097.80, 6,132.30 and 2,801.80 is: 4,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.80 : 6,132.30 = 2,801.80 : x
  2. Step 2: Convert to fraction form
    4,097.80/6,132.30 = 2,801.80/x
  3. Step 3: Cross multiply
    4,097.80x = 6,132.30 × 2,801.80
  4. Step 4: Simplify right side
    4,097.80x = 17,181,478.14
  5. Step 5: Solve for x
    x = 17,181,478.14/4,097.80
  6. Step 6: Final answer
    x = 4,192.85

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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.