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Finding the Fourth Proportional to 3,486.55, 5,234.46 and 2,026.75

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Solution

The fourth proportional to 3,486.55, 5,234.46 and 2,026.75 is: 3,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.55 : 5,234.46 = 2,026.75 : x
  2. Step 2: Convert to fraction form
    3,486.55/5,234.46 = 2,026.75/x
  3. Step 3: Cross multiply
    3,486.55x = 5,234.46 × 2,026.75
  4. Step 4: Simplify right side
    3,486.55x = 10,608,941.81
  5. Step 5: Solve for x
    x = 10,608,941.81/3,486.55
  6. Step 6: Final answer
    x = 3,042.82

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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.