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Finding the Fourth Proportional to 4,141.52, 5,715.04 and 2,278.52

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Solution

The fourth proportional to 4,141.52, 5,715.04 and 2,278.52 is: 3,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.52 : 5,715.04 = 2,278.52 : x
  2. Step 2: Convert to fraction form
    4,141.52/5,715.04 = 2,278.52/x
  3. Step 3: Cross multiply
    4,141.52x = 5,715.04 × 2,278.52
  4. Step 4: Simplify right side
    4,141.52x = 13,021,832.94
  5. Step 5: Solve for x
    x = 13,021,832.94/4,141.52
  6. Step 6: Final answer
    x = 3,144.22

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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.