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Finding the Fourth Proportional to 3,887, 5,364.21 and 2,208.47

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Solution

The fourth proportional to 3,887, 5,364.21 and 2,208.47 is: 3,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887 : 5,364.21 = 2,208.47 : x
  2. Step 2: Convert to fraction form
    3,887/5,364.21 = 2,208.47/x
  3. Step 3: Cross multiply
    3,887x = 5,364.21 × 2,208.47
  4. Step 4: Simplify right side
    3,887x = 11,846,696.86
  5. Step 5: Solve for x
    x = 11,846,696.86/3,887
  6. Step 6: Final answer
    x = 3,047.77

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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.