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Finding the Fourth Proportional to 4,766.41, 7,150.07 and 1,478.62

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Solution

The fourth proportional to 4,766.41, 7,150.07 and 1,478.62 is: 2,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.41 : 7,150.07 = 1,478.62 : x
  2. Step 2: Convert to fraction form
    4,766.41/7,150.07 = 1,478.62/x
  3. Step 3: Cross multiply
    4,766.41x = 7,150.07 × 1,478.62
  4. Step 4: Simplify right side
    4,766.41x = 10,572,236.50
  5. Step 5: Solve for x
    x = 10,572,236.50/4,766.41
  6. Step 6: Final answer
    x = 2,218.07

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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.