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Finding the Fourth Proportional to 5,981.32, 8,972 and 2,083

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Solution

The fourth proportional to 5,981.32, 8,972 and 2,083 is: 3,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.32 : 8,972 = 2,083 : x
  2. Step 2: Convert to fraction form
    5,981.32/8,972 = 2,083/x
  3. Step 3: Cross multiply
    5,981.32x = 8,972 × 2,083
  4. Step 4: Simplify right side
    5,981.32x = 18,688,676
  5. Step 5: Solve for x
    x = 18,688,676/5,981.32
  6. Step 6: Final answer
    x = 3,124.51

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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.