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Finding the Fourth Proportional to 3,523.47, 5,276.78 and 1,959.59

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Solution

The fourth proportional to 3,523.47, 5,276.78 and 1,959.59 is: 2,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.47 : 5,276.78 = 1,959.59 : x
  2. Step 2: Convert to fraction form
    3,523.47/5,276.78 = 1,959.59/x
  3. Step 3: Cross multiply
    3,523.47x = 5,276.78 × 1,959.59
  4. Step 4: Simplify right side
    3,523.47x = 10,340,289.14
  5. Step 5: Solve for x
    x = 10,340,289.14/3,523.47
  6. Step 6: Final answer
    x = 2,934.69

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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.