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Finding the Fourth Proportional to 5,492.82, 8,239.20 and 1,332.83

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Solution

The fourth proportional to 5,492.82, 8,239.20 and 1,332.83 is: 1,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.82 : 8,239.20 = 1,332.83 : x
  2. Step 2: Convert to fraction form
    5,492.82/8,239.20 = 1,332.83/x
  3. Step 3: Cross multiply
    5,492.82x = 8,239.20 × 1,332.83
  4. Step 4: Simplify right side
    5,492.82x = 10,981,411.74
  5. Step 5: Solve for x
    x = 10,981,411.74/5,492.82
  6. Step 6: Final answer
    x = 1,999.23

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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.