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Finding the Fourth Proportional to 3,542.51, 5,340.30 and 3,304.64

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Solution

The fourth proportional to 3,542.51, 5,340.30 and 3,304.64 is: 4,981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.51 : 5,340.30 = 3,304.64 : x
  2. Step 2: Convert to fraction form
    3,542.51/5,340.30 = 3,304.64/x
  3. Step 3: Cross multiply
    3,542.51x = 5,340.30 × 3,304.64
  4. Step 4: Simplify right side
    3,542.51x = 17,647,788.54
  5. Step 5: Solve for x
    x = 17,647,788.54/3,542.51
  6. Step 6: Final answer
    x = 4,981.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.