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Finding the Fourth Proportional to 3,464.88, 4,783.32 and 2,418

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Solution

The fourth proportional to 3,464.88, 4,783.32 and 2,418 is: 3,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.88 : 4,783.32 = 2,418 : x
  2. Step 2: Convert to fraction form
    3,464.88/4,783.32 = 2,418/x
  3. Step 3: Cross multiply
    3,464.88x = 4,783.32 × 2,418
  4. Step 4: Simplify right side
    3,464.88x = 11,566,067.76
  5. Step 5: Solve for x
    x = 11,566,067.76/3,464.88
  6. Step 6: Final answer
    x = 3,338.09

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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.