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Finding the Fourth Proportional to 4,766.16, 7,149.90 and 1,479.52

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Solution

The fourth proportional to 4,766.16, 7,149.90 and 1,479.52 is: 2,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.16 : 7,149.90 = 1,479.52 : x
  2. Step 2: Convert to fraction form
    4,766.16/7,149.90 = 1,479.52/x
  3. Step 3: Cross multiply
    4,766.16x = 7,149.90 × 1,479.52
  4. Step 4: Simplify right side
    4,766.16x = 10,578,420.05
  5. Step 5: Solve for x
    x = 10,578,420.05/4,766.16
  6. Step 6: Final answer
    x = 2,219.48

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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.