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Finding the Fourth Proportional to 7,170.62, 10,749.44 and 2,552.54

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Solution

The fourth proportional to 7,170.62, 10,749.44 and 2,552.54 is: 3,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.62 : 10,749.44 = 2,552.54 : x
  2. Step 2: Convert to fraction form
    7,170.62/10,749.44 = 2,552.54/x
  3. Step 3: Cross multiply
    7,170.62x = 10,749.44 × 2,552.54
  4. Step 4: Simplify right side
    7,170.62x = 27,438,328.21
  5. Step 5: Solve for x
    x = 27,438,328.21/7,170.62
  6. Step 6: Final answer
    x = 3,826.50

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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.