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Finding the Fourth Proportional to 5,227.04, 7,829.04 and 3,170.72

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Solution

The fourth proportional to 5,227.04, 7,829.04 and 3,170.72 is: 4,749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.04 : 7,829.04 = 3,170.72 : x
  2. Step 2: Convert to fraction form
    5,227.04/7,829.04 = 3,170.72/x
  3. Step 3: Cross multiply
    5,227.04x = 7,829.04 × 3,170.72
  4. Step 4: Simplify right side
    5,227.04x = 24,823,693.71
  5. Step 5: Solve for x
    x = 24,823,693.71/5,227.04
  6. Step 6: Final answer
    x = 4,749.09

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1.5x scale

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.