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Finding the Fourth Proportional to 5,299.32, 7,314 and 3,060.88

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Solution

The fourth proportional to 5,299.32, 7,314 and 3,060.88 is: 4,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.32 : 7,314 = 3,060.88 : x
  2. Step 2: Convert to fraction form
    5,299.32/7,314 = 3,060.88/x
  3. Step 3: Cross multiply
    5,299.32x = 7,314 × 3,060.88
  4. Step 4: Simplify right side
    5,299.32x = 22,387,276.32
  5. Step 5: Solve for x
    x = 22,387,276.32/5,299.32
  6. Step 6: Final answer
    x = 4,224.56

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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.