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Finding the Fourth Proportional to 3,647.97, 5,472.18 and 2,477.48

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Solution

The fourth proportional to 3,647.97, 5,472.18 and 2,477.48 is: 3,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.97 : 5,472.18 = 2,477.48 : x
  2. Step 2: Convert to fraction form
    3,647.97/5,472.18 = 2,477.48/x
  3. Step 3: Cross multiply
    3,647.97x = 5,472.18 × 2,477.48
  4. Step 4: Simplify right side
    3,647.97x = 13,557,189.15
  5. Step 5: Solve for x
    x = 13,557,189.15/3,647.97
  6. Step 6: Final answer
    x = 3,716.37

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1.5x scale

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.