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Finding the Fourth Proportional to 5,098.41, 7,650.25 and 2,175.93

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Solution

The fourth proportional to 5,098.41, 7,650.25 and 2,175.93 is: 3,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.41 : 7,650.25 = 2,175.93 : x
  2. Step 2: Convert to fraction form
    5,098.41/7,650.25 = 2,175.93/x
  3. Step 3: Cross multiply
    5,098.41x = 7,650.25 × 2,175.93
  4. Step 4: Simplify right side
    5,098.41x = 16,646,403.04
  5. Step 5: Solve for x
    x = 16,646,403.04/5,098.41
  6. Step 6: Final answer
    x = 3,265.02

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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.