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Finding the Fourth Proportional to 3,657.92, 5,047.49 and 2,064.45

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Solution

The fourth proportional to 3,657.92, 5,047.49 and 2,064.45 is: 2,848.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.92 : 5,047.49 = 2,064.45 : x
  2. Step 2: Convert to fraction form
    3,657.92/5,047.49 = 2,064.45/x
  3. Step 3: Cross multiply
    3,657.92x = 5,047.49 × 2,064.45
  4. Step 4: Simplify right side
    3,657.92x = 10,420,290.73
  5. Step 5: Solve for x
    x = 10,420,290.73/3,657.92
  6. Step 6: Final answer
    x = 2,848.69

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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.