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Finding the Fourth Proportional to 3,808.29, 5,256.03 and 2,316.67

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Solution

The fourth proportional to 3,808.29, 5,256.03 and 2,316.67 is: 3,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.29 : 5,256.03 = 2,316.67 : x
  2. Step 2: Convert to fraction form
    3,808.29/5,256.03 = 2,316.67/x
  3. Step 3: Cross multiply
    3,808.29x = 5,256.03 × 2,316.67
  4. Step 4: Simplify right side
    3,808.29x = 12,176,481.23
  5. Step 5: Solve for x
    x = 12,176,481.23/3,808.29
  6. Step 6: Final answer
    x = 3,197.37

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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.