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Finding the Fourth Proportional to 3,887.56, 5,364.39 and 2,209.15

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Solution

The fourth proportional to 3,887.56, 5,364.39 and 2,209.15 is: 3,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.56 : 5,364.39 = 2,209.15 : x
  2. Step 2: Convert to fraction form
    3,887.56/5,364.39 = 2,209.15/x
  3. Step 3: Cross multiply
    3,887.56x = 5,364.39 × 2,209.15
  4. Step 4: Simplify right side
    3,887.56x = 11,850,742.17
  5. Step 5: Solve for x
    x = 11,850,742.17/3,887.56
  6. Step 6: Final answer
    x = 3,048.38

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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.