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Finding the Fourth Proportional to 5,129.05, 7,074.30 and 3,137.98

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Solution

The fourth proportional to 5,129.05, 7,074.30 and 3,137.98 is: 4,328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.05 : 7,074.30 = 3,137.98 : x
  2. Step 2: Convert to fraction form
    5,129.05/7,074.30 = 3,137.98/x
  3. Step 3: Cross multiply
    5,129.05x = 7,074.30 × 3,137.98
  4. Step 4: Simplify right side
    5,129.05x = 22,199,011.91
  5. Step 5: Solve for x
    x = 22,199,011.91/5,129.05
  6. Step 6: Final answer
    x = 4,328.09

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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.