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Finding the Fourth Proportional to 6,131.52, 8,462.04 and 3,479.76

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Solution

The fourth proportional to 6,131.52, 8,462.04 and 3,479.76 is: 4,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.52 : 8,462.04 = 3,479.76 : x
  2. Step 2: Convert to fraction form
    6,131.52/8,462.04 = 3,479.76/x
  3. Step 3: Cross multiply
    6,131.52x = 8,462.04 × 3,479.76
  4. Step 4: Simplify right side
    6,131.52x = 29,445,868.31
  5. Step 5: Solve for x
    x = 29,445,868.31/6,131.52
  6. Step 6: Final answer
    x = 4,802.38

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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.