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Finding the Fourth Proportional to 5,086.98, 7,014.87 and 3,408.12

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Solution

The fourth proportional to 5,086.98, 7,014.87 and 3,408.12 is: 4,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.98 : 7,014.87 = 3,408.12 : x
  2. Step 2: Convert to fraction form
    5,086.98/7,014.87 = 3,408.12/x
  3. Step 3: Cross multiply
    5,086.98x = 7,014.87 × 3,408.12
  4. Step 4: Simplify right side
    5,086.98x = 23,907,518.74
  5. Step 5: Solve for x
    x = 23,907,518.74/5,086.98
  6. Step 6: Final answer
    x = 4,699.75

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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.