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Finding the Fourth Proportional to 4,927.72, 7,391.58 and 1,849

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Solution

The fourth proportional to 4,927.72, 7,391.58 and 1,849 is: 2,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.72 : 7,391.58 = 1,849 : x
  2. Step 2: Convert to fraction form
    4,927.72/7,391.58 = 1,849/x
  3. Step 3: Cross multiply
    4,927.72x = 7,391.58 × 1,849
  4. Step 4: Simplify right side
    4,927.72x = 13,667,031.42
  5. Step 5: Solve for x
    x = 13,667,031.42/4,927.72
  6. Step 6: Final answer
    x = 2,773.50

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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.