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Finding the Fourth Proportional to 3,806.70, 5,701.78 and 3,713.77

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Solution

The fourth proportional to 3,806.70, 5,701.78 and 3,713.77 is: 5,562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.70 : 5,701.78 = 3,713.77 : x
  2. Step 2: Convert to fraction form
    3,806.70/5,701.78 = 3,713.77/x
  3. Step 3: Cross multiply
    3,806.70x = 5,701.78 × 3,713.77
  4. Step 4: Simplify right side
    3,806.70x = 21,175,099.51
  5. Step 5: Solve for x
    x = 21,175,099.51/3,806.70
  6. Step 6: Final answer
    x = 5,562.59

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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.