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Finding the Fourth Proportional to 3,933.93, 5,429.62 and 2,256.47

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Solution

The fourth proportional to 3,933.93, 5,429.62 and 2,256.47 is: 3,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.93 : 5,429.62 = 2,256.47 : x
  2. Step 2: Convert to fraction form
    3,933.93/5,429.62 = 2,256.47/x
  3. Step 3: Cross multiply
    3,933.93x = 5,429.62 × 2,256.47
  4. Step 4: Simplify right side
    3,933.93x = 12,251,788.52
  5. Step 5: Solve for x
    x = 12,251,788.52/3,933.93
  6. Step 6: Final answer
    x = 3,114.39

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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.