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Finding the Fourth Proportional to 3,673.66, 5,067.76 and 2,345.96

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Solution

The fourth proportional to 3,673.66, 5,067.76 and 2,345.96 is: 3,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.66 : 5,067.76 = 2,345.96 : x
  2. Step 2: Convert to fraction form
    3,673.66/5,067.76 = 2,345.96/x
  3. Step 3: Cross multiply
    3,673.66x = 5,067.76 × 2,345.96
  4. Step 4: Simplify right side
    3,673.66x = 11,888,762.25
  5. Step 5: Solve for x
    x = 11,888,762.25/3,673.66
  6. Step 6: Final answer
    x = 3,236.22

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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.