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Finding the Fourth Proportional to 5,129.24, 7,077.84 and 3,140.36

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Solution

The fourth proportional to 5,129.24, 7,077.84 and 3,140.36 is: 4,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.24 : 7,077.84 = 3,140.36 : x
  2. Step 2: Convert to fraction form
    5,129.24/7,077.84 = 3,140.36/x
  3. Step 3: Cross multiply
    5,129.24x = 7,077.84 × 3,140.36
  4. Step 4: Simplify right side
    5,129.24x = 22,226,965.62
  5. Step 5: Solve for x
    x = 22,226,965.62/5,129.24
  6. Step 6: Final answer
    x = 4,333.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.