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Finding the Fourth Proportional to 5,313.66, 7,970.49 and 2,531.88

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Solution

The fourth proportional to 5,313.66, 7,970.49 and 2,531.88 is: 3,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.66 : 7,970.49 = 2,531.88 : x
  2. Step 2: Convert to fraction form
    5,313.66/7,970.49 = 2,531.88/x
  3. Step 3: Cross multiply
    5,313.66x = 7,970.49 × 2,531.88
  4. Step 4: Simplify right side
    5,313.66x = 20,180,324.22
  5. Step 5: Solve for x
    x = 20,180,324.22/5,313.66
  6. Step 6: Final answer
    x = 3,797.82

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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.