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Finding the Fourth Proportional to 3,756.34, 5,634.35 and 2,227.06

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Solution

The fourth proportional to 3,756.34, 5,634.35 and 2,227.06 is: 3,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.34 : 5,634.35 = 2,227.06 : x
  2. Step 2: Convert to fraction form
    3,756.34/5,634.35 = 2,227.06/x
  3. Step 3: Cross multiply
    3,756.34x = 5,634.35 × 2,227.06
  4. Step 4: Simplify right side
    3,756.34x = 12,548,035.51
  5. Step 5: Solve for x
    x = 12,548,035.51/3,756.34
  6. Step 6: Final answer
    x = 3,340.50

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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.