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Finding the Fourth Proportional to 5,981.91, 8,972.79 and 1,539.53

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Solution

The fourth proportional to 5,981.91, 8,972.79 and 1,539.53 is: 2,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.91 : 8,972.79 = 1,539.53 : x
  2. Step 2: Convert to fraction form
    5,981.91/8,972.79 = 1,539.53/x
  3. Step 3: Cross multiply
    5,981.91x = 8,972.79 × 1,539.53
  4. Step 4: Simplify right side
    5,981.91x = 13,813,879.39
  5. Step 5: Solve for x
    x = 13,813,879.39/5,981.91
  6. Step 6: Final answer
    x = 2,309.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.