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Finding the Fourth Proportional to 5,097.30, 7,640.79 and 3,454.01

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Solution

The fourth proportional to 5,097.30, 7,640.79 and 3,454.01 is: 5,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.30 : 7,640.79 = 3,454.01 : x
  2. Step 2: Convert to fraction form
    5,097.30/7,640.79 = 3,454.01/x
  3. Step 3: Cross multiply
    5,097.30x = 7,640.79 × 3,454.01
  4. Step 4: Simplify right side
    5,097.30x = 26,391,371.22
  5. Step 5: Solve for x
    x = 26,391,371.22/5,097.30
  6. Step 6: Final answer
    x = 5,177.52

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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.