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Finding the Fourth Proportional to 5,610.06, 8,414.01 and 2,146.86

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Solution

The fourth proportional to 5,610.06, 8,414.01 and 2,146.86 is: 3,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.06 : 8,414.01 = 2,146.86 : x
  2. Step 2: Convert to fraction form
    5,610.06/8,414.01 = 2,146.86/x
  3. Step 3: Cross multiply
    5,610.06x = 8,414.01 × 2,146.86
  4. Step 4: Simplify right side
    5,610.06x = 18,063,701.51
  5. Step 5: Solve for x
    x = 18,063,701.51/5,610.06
  6. Step 6: Final answer
    x = 3,219.88

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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.