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Finding the Fourth Proportional to 5,097.69, 7,648.57 and 2,325.66

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Solution

The fourth proportional to 5,097.69, 7,648.57 and 2,325.66 is: 3,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.69 : 7,648.57 = 2,325.66 : x
  2. Step 2: Convert to fraction form
    5,097.69/7,648.57 = 2,325.66/x
  3. Step 3: Cross multiply
    5,097.69x = 7,648.57 × 2,325.66
  4. Step 4: Simplify right side
    5,097.69x = 17,788,004.90
  5. Step 5: Solve for x
    x = 17,788,004.90/5,097.69
  6. Step 6: Final answer
    x = 3,489.43

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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.