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Finding the Fourth Proportional to 3,926.64, 5,911.17 and 3,587.67

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Solution

The fourth proportional to 3,926.64, 5,911.17 and 3,587.67 is: 5,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.64 : 5,911.17 = 3,587.67 : x
  2. Step 2: Convert to fraction form
    3,926.64/5,911.17 = 3,587.67/x
  3. Step 3: Cross multiply
    3,926.64x = 5,911.17 × 3,587.67
  4. Step 4: Simplify right side
    3,926.64x = 21,207,327.27
  5. Step 5: Solve for x
    x = 21,207,327.27/3,926.64
  6. Step 6: Final answer
    x = 5,400.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.