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Finding the Fourth Proportional to 4,737.17, 7,102.85 and 1,965.75

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Solution

The fourth proportional to 4,737.17, 7,102.85 and 1,965.75 is: 2,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.17 : 7,102.85 = 1,965.75 : x
  2. Step 2: Convert to fraction form
    4,737.17/7,102.85 = 1,965.75/x
  3. Step 3: Cross multiply
    4,737.17x = 7,102.85 × 1,965.75
  4. Step 4: Simplify right side
    4,737.17x = 13,962,417.56
  5. Step 5: Solve for x
    x = 13,962,417.56/4,737.17
  6. Step 6: Final answer
    x = 2,947.42

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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.