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Finding the Fourth Proportional to 4,737.87, 7,108.61 and 4,194.72

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Solution

The fourth proportional to 4,737.87, 7,108.61 and 4,194.72 is: 6,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.87 : 7,108.61 = 4,194.72 : x
  2. Step 2: Convert to fraction form
    4,737.87/7,108.61 = 4,194.72/x
  3. Step 3: Cross multiply
    4,737.87x = 7,108.61 × 4,194.72
  4. Step 4: Simplify right side
    4,737.87x = 29,818,607.57
  5. Step 5: Solve for x
    x = 29,818,607.57/4,737.87
  6. Step 6: Final answer
    x = 6,293.67

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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.