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Finding the Fourth Proportional to 3,586.92, 4,949.76 and 2,014.96

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Solution

The fourth proportional to 3,586.92, 4,949.76 and 2,014.96 is: 2,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.92 : 4,949.76 = 2,014.96 : x
  2. Step 2: Convert to fraction form
    3,586.92/4,949.76 = 2,014.96/x
  3. Step 3: Cross multiply
    3,586.92x = 4,949.76 × 2,014.96
  4. Step 4: Simplify right side
    3,586.92x = 9,973,568.41
  5. Step 5: Solve for x
    x = 9,973,568.41/3,586.92
  6. Step 6: Final answer
    x = 2,780.54

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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.