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Finding the Fourth Proportional to 4,738.48, 6,539.58 and 2,749.48

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Solution

The fourth proportional to 4,738.48, 6,539.58 and 2,749.48 is: 3,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.48 : 6,539.58 = 2,749.48 : x
  2. Step 2: Convert to fraction form
    4,738.48/6,539.58 = 2,749.48/x
  3. Step 3: Cross multiply
    4,738.48x = 6,539.58 × 2,749.48
  4. Step 4: Simplify right side
    4,738.48x = 17,980,444.42
  5. Step 5: Solve for x
    x = 17,980,444.42/4,738.48
  6. Step 6: Final answer
    x = 3,794.56

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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.