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Finding the Fourth Proportional to 6,031.95, 8,324.10 and 3,379.38

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Solution

The fourth proportional to 6,031.95, 8,324.10 and 3,379.38 is: 4,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.95 : 8,324.10 = 3,379.38 : x
  2. Step 2: Convert to fraction form
    6,031.95/8,324.10 = 3,379.38/x
  3. Step 3: Cross multiply
    6,031.95x = 8,324.10 × 3,379.38
  4. Step 4: Simplify right side
    6,031.95x = 28,130,297.06
  5. Step 5: Solve for x
    x = 28,130,297.06/6,031.95
  6. Step 6: Final answer
    x = 4,663.55

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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.