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Finding the Fourth Proportional to 3,536.98, 5,306.97 and 1,781.07

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Solution

The fourth proportional to 3,536.98, 5,306.97 and 1,781.07 is: 2,672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.98 : 5,306.97 = 1,781.07 : x
  2. Step 2: Convert to fraction form
    3,536.98/5,306.97 = 1,781.07/x
  3. Step 3: Cross multiply
    3,536.98x = 5,306.97 × 1,781.07
  4. Step 4: Simplify right side
    3,536.98x = 9,452,085.06
  5. Step 5: Solve for x
    x = 9,452,085.06/3,536.98
  6. Step 6: Final answer
    x = 2,672.36

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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.