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Finding the Fourth Proportional to 5,766.21, 8,650.42 and 2,256.08

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Solution

The fourth proportional to 5,766.21, 8,650.42 and 2,256.08 is: 3,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.21 : 8,650.42 = 2,256.08 : x
  2. Step 2: Convert to fraction form
    5,766.21/8,650.42 = 2,256.08/x
  3. Step 3: Cross multiply
    5,766.21x = 8,650.42 × 2,256.08
  4. Step 4: Simplify right side
    5,766.21x = 19,515,990.66
  5. Step 5: Solve for x
    x = 19,515,990.66/5,766.21
  6. Step 6: Final answer
    x = 3,384.54

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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.