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Finding the Fourth Proportional to 3,850.82, 5,776.21 and 1,509.17

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Solution

The fourth proportional to 3,850.82, 5,776.21 and 1,509.17 is: 2,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.82 : 5,776.21 = 1,509.17 : x
  2. Step 2: Convert to fraction form
    3,850.82/5,776.21 = 1,509.17/x
  3. Step 3: Cross multiply
    3,850.82x = 5,776.21 × 1,509.17
  4. Step 4: Simplify right side
    3,850.82x = 8,717,288.34
  5. Step 5: Solve for x
    x = 8,717,288.34/3,850.82
  6. Step 6: Final answer
    x = 2,263.75

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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.