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Finding the Fourth Proportional to 5,777.76, 8,665.52 and 2,266.68

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Solution

The fourth proportional to 5,777.76, 8,665.52 and 2,266.68 is: 3,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.76 : 8,665.52 = 2,266.68 : x
  2. Step 2: Convert to fraction form
    5,777.76/8,665.52 = 2,266.68/x
  3. Step 3: Cross multiply
    5,777.76x = 8,665.52 × 2,266.68
  4. Step 4: Simplify right side
    5,777.76x = 19,641,960.87
  5. Step 5: Solve for x
    x = 19,641,960.87/5,777.76
  6. Step 6: Final answer
    x = 3,399.58

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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.