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Finding the Fourth Proportional to 4,737.69, 7,105.32 and 1,965.15

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Solution

The fourth proportional to 4,737.69, 7,105.32 and 1,965.15 is: 2,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.69 : 7,105.32 = 1,965.15 : x
  2. Step 2: Convert to fraction form
    4,737.69/7,105.32 = 1,965.15/x
  3. Step 3: Cross multiply
    4,737.69x = 7,105.32 × 1,965.15
  4. Step 4: Simplify right side
    4,737.69x = 13,963,019.60
  5. Step 5: Solve for x
    x = 13,963,019.60/4,737.69
  6. Step 6: Final answer
    x = 2,947.22

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