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Finding the Fourth Proportional to 3,356.28, 5,034.42 and 1,275.80

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Solution

The fourth proportional to 3,356.28, 5,034.42 and 1,275.80 is: 1,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.28 : 5,034.42 = 1,275.80 : x
  2. Step 2: Convert to fraction form
    3,356.28/5,034.42 = 1,275.80/x
  3. Step 3: Cross multiply
    3,356.28x = 5,034.42 × 1,275.80
  4. Step 4: Simplify right side
    3,356.28x = 6,422,913.04
  5. Step 5: Solve for x
    x = 6,422,913.04/3,356.28
  6. Step 6: Final answer
    x = 1,913.70

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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.