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Finding the Fourth Proportional to 3,706.29, 5,560.29 and 3,049.20

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Solution

The fourth proportional to 3,706.29, 5,560.29 and 3,049.20 is: 4,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.29 : 5,560.29 = 3,049.20 : x
  2. Step 2: Convert to fraction form
    3,706.29/5,560.29 = 3,049.20/x
  3. Step 3: Cross multiply
    3,706.29x = 5,560.29 × 3,049.20
  4. Step 4: Simplify right side
    3,706.29x = 16,954,436.27
  5. Step 5: Solve for x
    x = 16,954,436.27/3,706.29
  6. Step 6: Final answer
    x = 4,574.50

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.