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Finding the Fourth Proportional to 3,486.29, 5,230.08 and 1,146.97

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Solution

The fourth proportional to 3,486.29, 5,230.08 and 1,146.97 is: 1,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.29 : 5,230.08 = 1,146.97 : x
  2. Step 2: Convert to fraction form
    3,486.29/5,230.08 = 1,146.97/x
  3. Step 3: Cross multiply
    3,486.29x = 5,230.08 × 1,146.97
  4. Step 4: Simplify right side
    3,486.29x = 5,998,744.86
  5. Step 5: Solve for x
    x = 5,998,744.86/3,486.29
  6. Step 6: Final answer
    x = 1,720.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.