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Finding the Fourth Proportional to 3,471.93, 5,208.02 and 2,655.24

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Solution

The fourth proportional to 3,471.93, 5,208.02 and 2,655.24 is: 3,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.93 : 5,208.02 = 2,655.24 : x
  2. Step 2: Convert to fraction form
    3,471.93/5,208.02 = 2,655.24/x
  3. Step 3: Cross multiply
    3,471.93x = 5,208.02 × 2,655.24
  4. Step 4: Simplify right side
    3,471.93x = 13,828,529.75
  5. Step 5: Solve for x
    x = 13,828,529.75/3,471.93
  6. Step 6: Final answer
    x = 3,982.95

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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.