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Finding the Fourth Proportional to 3,599.97, 4,967.42 and 2,006.48

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Solution

The fourth proportional to 3,599.97, 4,967.42 and 2,006.48 is: 2,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.97 : 4,967.42 = 2,006.48 : x
  2. Step 2: Convert to fraction form
    3,599.97/4,967.42 = 2,006.48/x
  3. Step 3: Cross multiply
    3,599.97x = 4,967.42 × 2,006.48
  4. Step 4: Simplify right side
    3,599.97x = 9,966,994.01
  5. Step 5: Solve for x
    x = 9,966,994.01/3,599.97
  6. Step 6: Final answer
    x = 2,768.63

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1.5x scale

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.