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Finding the Fourth Proportional to 3,536.70, 5,304.72 and 1,781.01

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Solution

The fourth proportional to 3,536.70, 5,304.72 and 1,781.01 is: 2,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.70 : 5,304.72 = 1,781.01 : x
  2. Step 2: Convert to fraction form
    3,536.70/5,304.72 = 1,781.01/x
  3. Step 3: Cross multiply
    3,536.70x = 5,304.72 × 1,781.01
  4. Step 4: Simplify right side
    3,536.70x = 9,447,759.37
  5. Step 5: Solve for x
    x = 9,447,759.37/3,536.70
  6. Step 6: Final answer
    x = 2,671.35

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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.