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Finding the Fourth Proportional to 3,652.94, 5,477.78 and 2,266.22

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Solution

The fourth proportional to 3,652.94, 5,477.78 and 2,266.22 is: 3,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.94 : 5,477.78 = 2,266.22 : x
  2. Step 2: Convert to fraction form
    3,652.94/5,477.78 = 2,266.22/x
  3. Step 3: Cross multiply
    3,652.94x = 5,477.78 × 2,266.22
  4. Step 4: Simplify right side
    3,652.94x = 12,413,815.87
  5. Step 5: Solve for x
    x = 12,413,815.87/3,652.94
  6. Step 6: Final answer
    x = 3,398.31

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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.