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Finding the Fourth Proportional to 3,536.78, 5,305.18 and 1,071.62

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Solution

The fourth proportional to 3,536.78, 5,305.18 and 1,071.62 is: 1,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.78 : 5,305.18 = 1,071.62 : x
  2. Step 2: Convert to fraction form
    3,536.78/5,305.18 = 1,071.62/x
  3. Step 3: Cross multiply
    3,536.78x = 5,305.18 × 1,071.62
  4. Step 4: Simplify right side
    3,536.78x = 5,685,105.11
  5. Step 5: Solve for x
    x = 5,685,105.11/3,536.78
  6. Step 6: Final answer
    x = 1,607.43

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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.