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Finding the Fourth Proportional to 4,737.69, 7,108.01 and 1,965.67

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Solution

The fourth proportional to 4,737.69, 7,108.01 and 1,965.67 is: 2,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.69 : 7,108.01 = 1,965.67 : x
  2. Step 2: Convert to fraction form
    4,737.69/7,108.01 = 1,965.67/x
  3. Step 3: Cross multiply
    4,737.69x = 7,108.01 × 1,965.67
  4. Step 4: Simplify right side
    4,737.69x = 13,972,002.02
  5. Step 5: Solve for x
    x = 13,972,002.02/4,737.69
  6. Step 6: Final answer
    x = 2,949.12

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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.