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Finding the Fourth Proportional to 3,537.84, 5,306.07 and 3,362.23

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Solution

The fourth proportional to 3,537.84, 5,306.07 and 3,362.23 is: 5,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.84 : 5,306.07 = 3,362.23 : x
  2. Step 2: Convert to fraction form
    3,537.84/5,306.07 = 3,362.23/x
  3. Step 3: Cross multiply
    3,537.84x = 5,306.07 × 3,362.23
  4. Step 4: Simplify right side
    3,537.84x = 17,840,201.21
  5. Step 5: Solve for x
    x = 17,840,201.21/3,537.84
  6. Step 6: Final answer
    x = 5,042.68

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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.