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Finding the Fourth Proportional to 4,079.64, 5,630.49 and 2,310.90

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Solution

The fourth proportional to 4,079.64, 5,630.49 and 2,310.90 is: 3,189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,079.64 : 5,630.49 = 2,310.90 : x
  2. Step 2: Convert to fraction form
    4,079.64/5,630.49 = 2,310.90/x
  3. Step 3: Cross multiply
    4,079.64x = 5,630.49 × 2,310.90
  4. Step 4: Simplify right side
    4,079.64x = 13,011,499.34
  5. Step 5: Solve for x
    x = 13,011,499.34/4,079.64
  6. Step 6: Final answer
    x = 3,189.37

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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.