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Finding the Fourth Proportional to 3,603.47, 4,972.84 and 2,206.22

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Solution

The fourth proportional to 3,603.47, 4,972.84 and 2,206.22 is: 3,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.47 : 4,972.84 = 2,206.22 : x
  2. Step 2: Convert to fraction form
    3,603.47/4,972.84 = 2,206.22/x
  3. Step 3: Cross multiply
    3,603.47x = 4,972.84 × 2,206.22
  4. Step 4: Simplify right side
    3,603.47x = 10,971,179.06
  5. Step 5: Solve for x
    x = 10,971,179.06/3,603.47
  6. Step 6: Final answer
    x = 3,044.62

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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.