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Finding the Fourth Proportional to 3,728.36, 5,592.78 and 1,131.50

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Solution

The fourth proportional to 3,728.36, 5,592.78 and 1,131.50 is: 1,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.36 : 5,592.78 = 1,131.50 : x
  2. Step 2: Convert to fraction form
    3,728.36/5,592.78 = 1,131.50/x
  3. Step 3: Cross multiply
    3,728.36x = 5,592.78 × 1,131.50
  4. Step 4: Simplify right side
    3,728.36x = 6,328,230.57
  5. Step 5: Solve for x
    x = 6,328,230.57/3,728.36
  6. Step 6: Final answer
    x = 1,697.32

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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.