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Finding the Fourth Proportional to 4,719.96, 7,069.17 and 2,256.54

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Solution

The fourth proportional to 4,719.96, 7,069.17 and 2,256.54 is: 3,379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.96 : 7,069.17 = 2,256.54 : x
  2. Step 2: Convert to fraction form
    4,719.96/7,069.17 = 2,256.54/x
  3. Step 3: Cross multiply
    4,719.96x = 7,069.17 × 2,256.54
  4. Step 4: Simplify right side
    4,719.96x = 15,951,864.87
  5. Step 5: Solve for x
    x = 15,951,864.87/4,719.96
  6. Step 6: Final answer
    x = 3,379.66

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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.