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Finding the Fourth Proportional to 4,848.64, 7,286.58 and 2,874.55

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Solution

The fourth proportional to 4,848.64, 7,286.58 and 2,874.55 is: 4,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.64 : 7,286.58 = 2,874.55 : x
  2. Step 2: Convert to fraction form
    4,848.64/7,286.58 = 2,874.55/x
  3. Step 3: Cross multiply
    4,848.64x = 7,286.58 × 2,874.55
  4. Step 4: Simplify right side
    4,848.64x = 20,945,613.49
  5. Step 5: Solve for x
    x = 20,945,613.49/4,848.64
  6. Step 6: Final answer
    x = 4,319.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.