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Finding the Fourth Proportional to 3,706.80, 5,113.26 and 2,214.24

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Solution

The fourth proportional to 3,706.80, 5,113.26 and 2,214.24 is: 3,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.80 : 5,113.26 = 2,214.24 : x
  2. Step 2: Convert to fraction form
    3,706.80/5,113.26 = 2,214.24/x
  3. Step 3: Cross multiply
    3,706.80x = 5,113.26 × 2,214.24
  4. Step 4: Simplify right side
    3,706.80x = 11,321,984.82
  5. Step 5: Solve for x
    x = 11,321,984.82/3,706.80
  6. Step 6: Final answer
    x = 3,054.38

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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.