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Finding the Fourth Proportional to 3,606.27, 5,410.10 and 1,414.95

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Solution

The fourth proportional to 3,606.27, 5,410.10 and 1,414.95 is: 2,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.27 : 5,410.10 = 1,414.95 : x
  2. Step 2: Convert to fraction form
    3,606.27/5,410.10 = 1,414.95/x
  3. Step 3: Cross multiply
    3,606.27x = 5,410.10 × 1,414.95
  4. Step 4: Simplify right side
    3,606.27x = 7,655,021.00
  5. Step 5: Solve for x
    x = 7,655,021.00/3,606.27
  6. Step 6: Final answer
    x = 2,122.70

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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.