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Finding the Fourth Proportional to 7,175.79, 10,754.37 and 3,472.88

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Solution

The fourth proportional to 7,175.79, 10,754.37 and 3,472.88 is: 5,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.79 : 10,754.37 = 3,472.88 : x
  2. Step 2: Convert to fraction form
    7,175.79/10,754.37 = 3,472.88/x
  3. Step 3: Cross multiply
    7,175.79x = 10,754.37 × 3,472.88
  4. Step 4: Simplify right side
    7,175.79x = 37,348,582.71
  5. Step 5: Solve for x
    x = 37,348,582.71/7,175.79
  6. Step 6: Final answer
    x = 5,204.80

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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.