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Finding the Fourth Proportional to 4,887.78, 6,743.58 and 2,997.42

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Solution

The fourth proportional to 4,887.78, 6,743.58 and 2,997.42 is: 4,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.78 : 6,743.58 = 2,997.42 : x
  2. Step 2: Convert to fraction form
    4,887.78/6,743.58 = 2,997.42/x
  3. Step 3: Cross multiply
    4,887.78x = 6,743.58 × 2,997.42
  4. Step 4: Simplify right side
    4,887.78x = 20,213,341.56
  5. Step 5: Solve for x
    x = 20,213,341.56/4,887.78
  6. Step 6: Final answer
    x = 4,135.49

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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.