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Finding the Fourth Proportional to 5,653.48, 8,469.24 and 3,180.76

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Solution

The fourth proportional to 5,653.48, 8,469.24 and 3,180.76 is: 4,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.48 : 8,469.24 = 3,180.76 : x
  2. Step 2: Convert to fraction form
    5,653.48/8,469.24 = 3,180.76/x
  3. Step 3: Cross multiply
    5,653.48x = 8,469.24 × 3,180.76
  4. Step 4: Simplify right side
    5,653.48x = 26,938,619.82
  5. Step 5: Solve for x
    x = 26,938,619.82/5,653.48
  6. Step 6: Final answer
    x = 4,764.96

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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.