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Finding the Fourth Proportional to 5,983.26, 8,962.12 and 3,756.16

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Solution

The fourth proportional to 5,983.26, 8,962.12 and 3,756.16 is: 5,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.26 : 8,962.12 = 3,756.16 : x
  2. Step 2: Convert to fraction form
    5,983.26/8,962.12 = 3,756.16/x
  3. Step 3: Cross multiply
    5,983.26x = 8,962.12 × 3,756.16
  4. Step 4: Simplify right side
    5,983.26x = 33,663,156.66
  5. Step 5: Solve for x
    x = 33,663,156.66/5,983.26
  6. Step 6: Final answer
    x = 5,626.22

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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.