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Finding the Fourth Proportional to 3,523.83, 5,286.52 and 1,332.58

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Solution

The fourth proportional to 3,523.83, 5,286.52 and 1,332.58 is: 1,999.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.83 : 5,286.52 = 1,332.58 : x
  2. Step 2: Convert to fraction form
    3,523.83/5,286.52 = 1,332.58/x
  3. Step 3: Cross multiply
    3,523.83x = 5,286.52 × 1,332.58
  4. Step 4: Simplify right side
    3,523.83x = 7,044,677.73
  5. Step 5: Solve for x
    x = 7,044,677.73/3,523.83
  6. Step 6: Final answer
    x = 1,999.16

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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.