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Finding the Fourth Proportional to 4,859.53, 6,709.31 and 3,738.40

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Solution

The fourth proportional to 4,859.53, 6,709.31 and 3,738.40 is: 5,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.53 : 6,709.31 = 3,738.40 : x
  2. Step 2: Convert to fraction form
    4,859.53/6,709.31 = 3,738.40/x
  3. Step 3: Cross multiply
    4,859.53x = 6,709.31 × 3,738.40
  4. Step 4: Simplify right side
    4,859.53x = 25,082,060.30
  5. Step 5: Solve for x
    x = 25,082,060.30/4,859.53
  6. Step 6: Final answer
    x = 5,161.42

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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.