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Finding the Fourth Proportional to 5,021.70, 6,930.11 and 3,031.86

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Solution

The fourth proportional to 5,021.70, 6,930.11 and 3,031.86 is: 4,184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,021.70 : 6,930.11 = 3,031.86 : x
  2. Step 2: Convert to fraction form
    5,021.70/6,930.11 = 3,031.86/x
  3. Step 3: Cross multiply
    5,021.70x = 6,930.11 × 3,031.86
  4. Step 4: Simplify right side
    5,021.70x = 21,011,123.30
  5. Step 5: Solve for x
    x = 21,011,123.30/5,021.70
  6. Step 6: Final answer
    x = 4,184.07

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