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Finding the Fourth Proportional to 4,138.74, 5,736.06 and 4,060.98

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Solution

The fourth proportional to 4,138.74, 5,736.06 and 4,060.98 is: 5,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.74 : 5,736.06 = 4,060.98 : x
  2. Step 2: Convert to fraction form
    4,138.74/5,736.06 = 4,060.98/x
  3. Step 3: Cross multiply
    4,138.74x = 5,736.06 × 4,060.98
  4. Step 4: Simplify right side
    4,138.74x = 23,294,024.94
  5. Step 5: Solve for x
    x = 23,294,024.94/4,138.74
  6. Step 6: Final answer
    x = 5,628.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.