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Finding the Fourth Proportional to 3,706.70, 5,561.46 and 1,759.05

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Solution

The fourth proportional to 3,706.70, 5,561.46 and 1,759.05 is: 2,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.70 : 5,561.46 = 1,759.05 : x
  2. Step 2: Convert to fraction form
    3,706.70/5,561.46 = 1,759.05/x
  3. Step 3: Cross multiply
    3,706.70x = 5,561.46 × 1,759.05
  4. Step 4: Simplify right side
    3,706.70x = 9,782,886.21
  5. Step 5: Solve for x
    x = 9,782,886.21/3,706.70
  6. Step 6: Final answer
    x = 2,639.25

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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.