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Finding the Fourth Proportional to 3,403, 4,694.32 and 2,282.01

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Solution

The fourth proportional to 3,403, 4,694.32 and 2,282.01 is: 3,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403 : 4,694.32 = 2,282.01 : x
  2. Step 2: Convert to fraction form
    3,403/4,694.32 = 2,282.01/x
  3. Step 3: Cross multiply
    3,403x = 4,694.32 × 2,282.01
  4. Step 4: Simplify right side
    3,403x = 10,712,485.18
  5. Step 5: Solve for x
    x = 10,712,485.18/3,403
  6. Step 6: Final answer
    x = 3,147.95

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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.