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Finding the Fourth Proportional to 4,943.16, 7,406.52 and 3,479.24

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Solution

The fourth proportional to 4,943.16, 7,406.52 and 3,479.24 is: 5,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.16 : 7,406.52 = 3,479.24 : x
  2. Step 2: Convert to fraction form
    4,943.16/7,406.52 = 3,479.24/x
  3. Step 3: Cross multiply
    4,943.16x = 7,406.52 × 3,479.24
  4. Step 4: Simplify right side
    4,943.16x = 25,769,023.61
  5. Step 5: Solve for x
    x = 25,769,023.61/4,943.16
  6. Step 6: Final answer
    x = 5,213.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.