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Finding the Fourth Proportional to 4,801.97, 7,202.16 and 3,411.09

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Solution

The fourth proportional to 4,801.97, 7,202.16 and 3,411.09 is: 5,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.97 : 7,202.16 = 3,411.09 : x
  2. Step 2: Convert to fraction form
    4,801.97/7,202.16 = 3,411.09/x
  3. Step 3: Cross multiply
    4,801.97x = 7,202.16 × 3,411.09
  4. Step 4: Simplify right side
    4,801.97x = 24,567,215.95
  5. Step 5: Solve for x
    x = 24,567,215.95/4,801.97
  6. Step 6: Final answer
    x = 5,116.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.