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Finding the Fourth Proportional to 3,486.95, 5,231.19 and 1,146.86

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Solution

The fourth proportional to 3,486.95, 5,231.19 and 1,146.86 is: 1,720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.95 : 5,231.19 = 1,146.86 : x
  2. Step 2: Convert to fraction form
    3,486.95/5,231.19 = 1,146.86/x
  3. Step 3: Cross multiply
    3,486.95x = 5,231.19 × 1,146.86
  4. Step 4: Simplify right side
    3,486.95x = 5,999,440.33
  5. Step 5: Solve for x
    x = 5,999,440.33/3,486.95
  6. Step 6: Final answer
    x = 1,720.54

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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.