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Finding the Fourth Proportional to 5,097.98, 7,643.49 and 2,285.78

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Solution

The fourth proportional to 5,097.98, 7,643.49 and 2,285.78 is: 3,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.98 : 7,643.49 = 2,285.78 : x
  2. Step 2: Convert to fraction form
    5,097.98/7,643.49 = 2,285.78/x
  3. Step 3: Cross multiply
    5,097.98x = 7,643.49 × 2,285.78
  4. Step 4: Simplify right side
    5,097.98x = 17,471,336.57
  5. Step 5: Solve for x
    x = 17,471,336.57/5,097.98
  6. Step 6: Final answer
    x = 3,427.11

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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.