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Finding the Fourth Proportional to 3,687.96, 5,088.98 and 2,195.67

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Solution

The fourth proportional to 3,687.96, 5,088.98 and 2,195.67 is: 3,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.96 : 5,088.98 = 2,195.67 : x
  2. Step 2: Convert to fraction form
    3,687.96/5,088.98 = 2,195.67/x
  3. Step 3: Cross multiply
    3,687.96x = 5,088.98 × 2,195.67
  4. Step 4: Simplify right side
    3,687.96x = 11,173,709.74
  5. Step 5: Solve for x
    x = 11,173,709.74/3,687.96
  6. Step 6: Final answer
    x = 3,029.78

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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.