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Finding the Fourth Proportional to 3,496.74, 5,245.11 and 1,275.74

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Solution

The fourth proportional to 3,496.74, 5,245.11 and 1,275.74 is: 1,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.74 : 5,245.11 = 1,275.74 : x
  2. Step 2: Convert to fraction form
    3,496.74/5,245.11 = 1,275.74/x
  3. Step 3: Cross multiply
    3,496.74x = 5,245.11 × 1,275.74
  4. Step 4: Simplify right side
    3,496.74x = 6,691,370.41
  5. Step 5: Solve for x
    x = 6,691,370.41/3,496.74
  6. Step 6: Final answer
    x = 1,913.60

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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.