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Finding the Fourth Proportional to 5,766.08, 8,647.79 and 2,256.17

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Solution

The fourth proportional to 5,766.08, 8,647.79 and 2,256.17 is: 3,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.08 : 8,647.79 = 2,256.17 : x
  2. Step 2: Convert to fraction form
    5,766.08/8,647.79 = 2,256.17/x
  3. Step 3: Cross multiply
    5,766.08x = 8,647.79 × 2,256.17
  4. Step 4: Simplify right side
    5,766.08x = 19,510,829.84
  5. Step 5: Solve for x
    x = 19,510,829.84/5,766.08
  6. Step 6: Final answer
    x = 3,383.73

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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.