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Finding the Fourth Proportional to 3,553.56, 5,330.22 and 1,473

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Solution

The fourth proportional to 3,553.56, 5,330.22 and 1,473 is: 2,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.56 : 5,330.22 = 1,473 : x
  2. Step 2: Convert to fraction form
    3,553.56/5,330.22 = 1,473/x
  3. Step 3: Cross multiply
    3,553.56x = 5,330.22 × 1,473
  4. Step 4: Simplify right side
    3,553.56x = 7,851,414.06
  5. Step 5: Solve for x
    x = 7,851,414.06/3,553.56
  6. Step 6: Final answer
    x = 2,209.45

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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.