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Finding the Fourth Proportional to 3,850.78, 5,776.79 and 1,509.51

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Solution

The fourth proportional to 3,850.78, 5,776.79 and 1,509.51 is: 2,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.78 : 5,776.79 = 1,509.51 : x
  2. Step 2: Convert to fraction form
    3,850.78/5,776.79 = 1,509.51/x
  3. Step 3: Cross multiply
    3,850.78x = 5,776.79 × 1,509.51
  4. Step 4: Simplify right side
    3,850.78x = 8,720,114.73
  5. Step 5: Solve for x
    x = 8,720,114.73/3,850.78
  6. Step 6: Final answer
    x = 2,264.51

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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.