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Finding the Fourth Proportional to 4,769.12, 7,154.16 and 1,767.97

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Solution

The fourth proportional to 4,769.12, 7,154.16 and 1,767.97 is: 2,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.12 : 7,154.16 = 1,767.97 : x
  2. Step 2: Convert to fraction form
    4,769.12/7,154.16 = 1,767.97/x
  3. Step 3: Cross multiply
    4,769.12x = 7,154.16 × 1,767.97
  4. Step 4: Simplify right side
    4,769.12x = 12,648,340.26
  5. Step 5: Solve for x
    x = 12,648,340.26/4,769.12
  6. Step 6: Final answer
    x = 2,652.13

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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.