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Finding the Fourth Proportional to 3,249.47, 4,484.31 and 1,852.31

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Solution

The fourth proportional to 3,249.47, 4,484.31 and 1,852.31 is: 2,556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.47 : 4,484.31 = 1,852.31 : x
  2. Step 2: Convert to fraction form
    3,249.47/4,484.31 = 1,852.31/x
  3. Step 3: Cross multiply
    3,249.47x = 4,484.31 × 1,852.31
  4. Step 4: Simplify right side
    3,249.47x = 8,306,332.26
  5. Step 5: Solve for x
    x = 8,306,332.26/3,249.47
  6. Step 6: Final answer
    x = 2,556.21

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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.