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Finding the Fourth Proportional to 5,929.44, 8,182.44 and 3,276.78

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Solution

The fourth proportional to 5,929.44, 8,182.44 and 3,276.78 is: 4,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.44 : 8,182.44 = 3,276.78 : x
  2. Step 2: Convert to fraction form
    5,929.44/8,182.44 = 3,276.78/x
  3. Step 3: Cross multiply
    5,929.44x = 8,182.44 × 3,276.78
  4. Step 4: Simplify right side
    5,929.44x = 26,812,055.74
  5. Step 5: Solve for x
    x = 26,812,055.74/5,929.44
  6. Step 6: Final answer
    x = 4,521.85

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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.