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Finding the Fourth Proportional to 3,246.72, 4,479.12 and 2,004

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Solution

The fourth proportional to 3,246.72, 4,479.12 and 2,004 is: 2,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.72 : 4,479.12 = 2,004 : x
  2. Step 2: Convert to fraction form
    3,246.72/4,479.12 = 2,004/x
  3. Step 3: Cross multiply
    3,246.72x = 4,479.12 × 2,004
  4. Step 4: Simplify right side
    3,246.72x = 8,976,156.48
  5. Step 5: Solve for x
    x = 8,976,156.48/3,246.72
  6. Step 6: Final answer
    x = 2,764.68

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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.