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Finding the Fourth Proportional to 3,706.25, 5,114.79 and 2,050.25

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Solution

The fourth proportional to 3,706.25, 5,114.79 and 2,050.25 is: 2,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.25 : 5,114.79 = 2,050.25 : x
  2. Step 2: Convert to fraction form
    3,706.25/5,114.79 = 2,050.25/x
  3. Step 3: Cross multiply
    3,706.25x = 5,114.79 × 2,050.25
  4. Step 4: Simplify right side
    3,706.25x = 10,486,587.95
  5. Step 5: Solve for x
    x = 10,486,587.95/3,706.25
  6. Step 6: Final answer
    x = 2,829.43

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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.