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Finding the Fourth Proportional to 3,224.39, 4,837.68 and 1,275.53

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Solution

The fourth proportional to 3,224.39, 4,837.68 and 1,275.53 is: 1,913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.39 : 4,837.68 = 1,275.53 : x
  2. Step 2: Convert to fraction form
    3,224.39/4,837.68 = 1,275.53/x
  3. Step 3: Cross multiply
    3,224.39x = 4,837.68 × 1,275.53
  4. Step 4: Simplify right side
    3,224.39x = 6,170,605.97
  5. Step 5: Solve for x
    x = 6,170,605.97/3,224.39
  6. Step 6: Final answer
    x = 1,913.73

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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.