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Finding the Fourth Proportional to 3,755.18, 5,633.10 and 981.84

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Solution

The fourth proportional to 3,755.18, 5,633.10 and 981.84 is: 1,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.18 : 5,633.10 = 981.84 : x
  2. Step 2: Convert to fraction form
    3,755.18/5,633.10 = 981.84/x
  3. Step 3: Cross multiply
    3,755.18x = 5,633.10 × 981.84
  4. Step 4: Simplify right side
    3,755.18x = 5,530,802.90
  5. Step 5: Solve for x
    x = 5,530,802.90/3,755.18
  6. Step 6: Final answer
    x = 1,472.85

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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.