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Finding the Fourth Proportional to 4,737.81, 7,107.63 and 2,140.75

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Solution

The fourth proportional to 4,737.81, 7,107.63 and 2,140.75 is: 3,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.81 : 7,107.63 = 2,140.75 : x
  2. Step 2: Convert to fraction form
    4,737.81/7,107.63 = 2,140.75/x
  3. Step 3: Cross multiply
    4,737.81x = 7,107.63 × 2,140.75
  4. Step 4: Simplify right side
    4,737.81x = 15,215,658.92
  5. Step 5: Solve for x
    x = 15,215,658.92/4,737.81
  6. Step 6: Final answer
    x = 3,211.54

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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.