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Finding the Fourth Proportional to 3,738, 5,160.06 and 2,341.56

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Solution

The fourth proportional to 3,738, 5,160.06 and 2,341.56 is: 3,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738 : 5,160.06 = 2,341.56 : x
  2. Step 2: Convert to fraction form
    3,738/5,160.06 = 2,341.56/x
  3. Step 3: Cross multiply
    3,738x = 5,160.06 × 2,341.56
  4. Step 4: Simplify right side
    3,738x = 12,082,590.09
  5. Step 5: Solve for x
    x = 12,082,590.09/3,738
  6. Step 6: Final answer
    x = 3,232.37

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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.