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Finding the Fourth Proportional to 3,536.06, 5,304.90 and 1,344.80

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Solution

The fourth proportional to 3,536.06, 5,304.90 and 1,344.80 is: 2,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.06 : 5,304.90 = 1,344.80 : x
  2. Step 2: Convert to fraction form
    3,536.06/5,304.90 = 1,344.80/x
  3. Step 3: Cross multiply
    3,536.06x = 5,304.90 × 1,344.80
  4. Step 4: Simplify right side
    3,536.06x = 7,134,029.52
  5. Step 5: Solve for x
    x = 7,134,029.52/3,536.06
  6. Step 6: Final answer
    x = 2,017.51

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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.