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Finding the Fourth Proportional to 5,467.60, 8,201.40 and 2,551.60

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Solution

The fourth proportional to 5,467.60, 8,201.40 and 2,551.60 is: 3,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.60 : 8,201.40 = 2,551.60 : x
  2. Step 2: Convert to fraction form
    5,467.60/8,201.40 = 2,551.60/x
  3. Step 3: Cross multiply
    5,467.60x = 8,201.40 × 2,551.60
  4. Step 4: Simplify right side
    5,467.60x = 20,926,692.24
  5. Step 5: Solve for x
    x = 20,926,692.24/5,467.60
  6. Step 6: Final answer
    x = 3,827.40

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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.