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Finding the Fourth Proportional to 5,272, 7,275.36 and 3,176.56

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Solution

The fourth proportional to 5,272, 7,275.36 and 3,176.56 is: 4,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272 : 7,275.36 = 3,176.56 : x
  2. Step 2: Convert to fraction form
    5,272/7,275.36 = 3,176.56/x
  3. Step 3: Cross multiply
    5,272x = 7,275.36 × 3,176.56
  4. Step 4: Simplify right side
    5,272x = 23,110,617.56
  5. Step 5: Solve for x
    x = 23,110,617.56/5,272
  6. Step 6: Final answer
    x = 4,383.65

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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.