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Finding the Fourth Proportional to 3,982.64, 5,973.95 and 1,061.17

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Solution

The fourth proportional to 3,982.64, 5,973.95 and 1,061.17 is: 1,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.64 : 5,973.95 = 1,061.17 : x
  2. Step 2: Convert to fraction form
    3,982.64/5,973.95 = 1,061.17/x
  3. Step 3: Cross multiply
    3,982.64x = 5,973.95 × 1,061.17
  4. Step 4: Simplify right side
    3,982.64x = 6,339,364.24
  5. Step 5: Solve for x
    x = 6,339,364.24/3,982.64
  6. Step 6: Final answer
    x = 1,591.75

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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.