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Finding the Fourth Proportional to 3,427.24, 5,140.86 and 830.18

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Solution

The fourth proportional to 3,427.24, 5,140.86 and 830.18 is: 1,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.24 : 5,140.86 = 830.18 : x
  2. Step 2: Convert to fraction form
    3,427.24/5,140.86 = 830.18/x
  3. Step 3: Cross multiply
    3,427.24x = 5,140.86 × 830.18
  4. Step 4: Simplify right side
    3,427.24x = 4,267,839.15
  5. Step 5: Solve for x
    x = 4,267,839.15/3,427.24
  6. Step 6: Final answer
    x = 1,245.27

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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.