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Finding the Fourth Proportional to 5,849.32, 8,071.92 and 3,196.66

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Solution

The fourth proportional to 5,849.32, 8,071.92 and 3,196.66 is: 4,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.32 : 8,071.92 = 3,196.66 : x
  2. Step 2: Convert to fraction form
    5,849.32/8,071.92 = 3,196.66/x
  3. Step 3: Cross multiply
    5,849.32x = 8,071.92 × 3,196.66
  4. Step 4: Simplify right side
    5,849.32x = 25,803,183.79
  5. Step 5: Solve for x
    x = 25,803,183.79/5,849.32
  6. Step 6: Final answer
    x = 4,411.31

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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.