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Finding the Fourth Proportional to 5,772.78, 7,966.44 and 3,415.08

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Solution

The fourth proportional to 5,772.78, 7,966.44 and 3,415.08 is: 4,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.78 : 7,966.44 = 3,415.08 : x
  2. Step 2: Convert to fraction form
    5,772.78/7,966.44 = 3,415.08/x
  3. Step 3: Cross multiply
    5,772.78x = 7,966.44 × 3,415.08
  4. Step 4: Simplify right side
    5,772.78x = 27,206,029.92
  5. Step 5: Solve for x
    x = 27,206,029.92/5,772.78
  6. Step 6: Final answer
    x = 4,712.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.