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Finding the Fourth Proportional to 3,737.67, 5,156.84 and 2,165.46

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Solution

The fourth proportional to 3,737.67, 5,156.84 and 2,165.46 is: 2,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.67 : 5,156.84 = 2,165.46 : x
  2. Step 2: Convert to fraction form
    3,737.67/5,156.84 = 2,165.46/x
  3. Step 3: Cross multiply
    3,737.67x = 5,156.84 × 2,165.46
  4. Step 4: Simplify right side
    3,737.67x = 11,166,919.92
  5. Step 5: Solve for x
    x = 11,166,919.92/3,737.67
  6. Step 6: Final answer
    x = 2,987.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.