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Finding the Fourth Proportional to 4,097.00, 6,142.59 and 2,248.98

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Solution

The fourth proportional to 4,097.00, 6,142.59 and 2,248.98 is: 3,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.00 : 6,142.59 = 2,248.98 : x
  2. Step 2: Convert to fraction form
    4,097.00/6,142.59 = 2,248.98/x
  3. Step 3: Cross multiply
    4,097.00x = 6,142.59 × 2,248.98
  4. Step 4: Simplify right side
    4,097.00x = 13,814,562.06
  5. Step 5: Solve for x
    x = 13,814,562.06/4,097.00
  6. Step 6: Final answer
    x = 3,371.88

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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.