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Finding the Fourth Proportional to 6,144.63, 8,480.16 and 3,491.52

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Solution

The fourth proportional to 6,144.63, 8,480.16 and 3,491.52 is: 4,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.63 : 8,480.16 = 3,491.52 : x
  2. Step 2: Convert to fraction form
    6,144.63/8,480.16 = 3,491.52/x
  3. Step 3: Cross multiply
    6,144.63x = 8,480.16 × 3,491.52
  4. Step 4: Simplify right side
    6,144.63x = 29,608,648.24
  5. Step 5: Solve for x
    x = 29,608,648.24/6,144.63
  6. Step 6: Final answer
    x = 4,818.62

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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.