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Finding the Fourth Proportional to 4,316, 5,956.26 and 2,549.12

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Solution

The fourth proportional to 4,316, 5,956.26 and 2,549.12 is: 3,517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316 : 5,956.26 = 2,549.12 : x
  2. Step 2: Convert to fraction form
    4,316/5,956.26 = 2,549.12/x
  3. Step 3: Cross multiply
    4,316x = 5,956.26 × 2,549.12
  4. Step 4: Simplify right side
    4,316x = 15,183,221.49
  5. Step 5: Solve for x
    x = 15,183,221.49/4,316
  6. Step 6: Final answer
    x = 3,517.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.