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Finding the Fourth Proportional to 4,737, 7,105.48 and 1,449.94

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Solution

The fourth proportional to 4,737, 7,105.48 and 1,449.94 is: 2,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737 : 7,105.48 = 1,449.94 : x
  2. Step 2: Convert to fraction form
    4,737/7,105.48 = 1,449.94/x
  3. Step 3: Cross multiply
    4,737x = 7,105.48 × 1,449.94
  4. Step 4: Simplify right side
    4,737x = 10,302,519.67
  5. Step 5: Solve for x
    x = 10,302,519.67/4,737
  6. Step 6: Final answer
    x = 2,174.90

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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.