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Finding the Fourth Proportional to 5,829.06, 8,044.11 and 3,176.47

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Solution

The fourth proportional to 5,829.06, 8,044.11 and 3,176.47 is: 4,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.06 : 8,044.11 = 3,176.47 : x
  2. Step 2: Convert to fraction form
    5,829.06/8,044.11 = 3,176.47/x
  3. Step 3: Cross multiply
    5,829.06x = 8,044.11 × 3,176.47
  4. Step 4: Simplify right side
    5,829.06x = 25,551,874.09
  5. Step 5: Solve for x
    x = 25,551,874.09/5,829.06
  6. Step 6: Final answer
    x = 4,383.53

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1.5x scale

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.