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Finding the Fourth Proportional to 4,738, 6,538.30 and 2,748.42

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Solution

The fourth proportional to 4,738, 6,538.30 and 2,748.42 is: 3,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738 : 6,538.30 = 2,748.42 : x
  2. Step 2: Convert to fraction form
    4,738/6,538.30 = 2,748.42/x
  3. Step 3: Cross multiply
    4,738x = 6,538.30 × 2,748.42
  4. Step 4: Simplify right side
    4,738x = 17,969,994.49
  5. Step 5: Solve for x
    x = 17,969,994.49/4,738
  6. Step 6: Final answer
    x = 3,792.74

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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.