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Finding the Fourth Proportional to 4,769.04, 7,151.13 and 2,169.75

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Solution

The fourth proportional to 4,769.04, 7,151.13 and 2,169.75 is: 3,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.04 : 7,151.13 = 2,169.75 : x
  2. Step 2: Convert to fraction form
    4,769.04/7,151.13 = 2,169.75/x
  3. Step 3: Cross multiply
    4,769.04x = 7,151.13 × 2,169.75
  4. Step 4: Simplify right side
    4,769.04x = 15,516,164.32
  5. Step 5: Solve for x
    x = 15,516,164.32/4,769.04
  6. Step 6: Final answer
    x = 3,253.52

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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.