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Finding the Fourth Proportional to 4,739.83, 7,109.76 and 1,452.92

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Solution

The fourth proportional to 4,739.83, 7,109.76 and 1,452.92 is: 2,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.83 : 7,109.76 = 1,452.92 : x
  2. Step 2: Convert to fraction form
    4,739.83/7,109.76 = 1,452.92/x
  3. Step 3: Cross multiply
    4,739.83x = 7,109.76 × 1,452.92
  4. Step 4: Simplify right side
    4,739.83x = 10,329,912.50
  5. Step 5: Solve for x
    x = 10,329,912.50/4,739.83
  6. Step 6: Final answer
    x = 2,179.38

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1.5x scale

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.