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Finding the Fourth Proportional to 3,808.62, 5,256.90 and 2,237.76

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Solution

The fourth proportional to 3,808.62, 5,256.90 and 2,237.76 is: 3,088.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.62 : 5,256.90 = 2,237.76 : x
  2. Step 2: Convert to fraction form
    3,808.62/5,256.90 = 2,237.76/x
  3. Step 3: Cross multiply
    3,808.62x = 5,256.90 × 2,237.76
  4. Step 4: Simplify right side
    3,808.62x = 11,763,680.54
  5. Step 5: Solve for x
    x = 11,763,680.54/3,808.62
  6. Step 6: Final answer
    x = 3,088.70

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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.