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Finding the Fourth Proportional to 5,760.08, 7,945.94 and 3,872.08

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Solution

The fourth proportional to 5,760.08, 7,945.94 and 3,872.08 is: 5,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.08 : 7,945.94 = 3,872.08 : x
  2. Step 2: Convert to fraction form
    5,760.08/7,945.94 = 3,872.08/x
  3. Step 3: Cross multiply
    5,760.08x = 7,945.94 × 3,872.08
  4. Step 4: Simplify right side
    5,760.08x = 30,767,315.36
  5. Step 5: Solve for x
    x = 30,767,315.36/5,760.08
  6. Step 6: Final answer
    x = 5,341.47

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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.