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Finding the Fourth Proportional to 5,408.54, 8,114.03 and 1,710.99

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Solution

The fourth proportional to 5,408.54, 8,114.03 and 1,710.99 is: 2,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.54 : 8,114.03 = 1,710.99 : x
  2. Step 2: Convert to fraction form
    5,408.54/8,114.03 = 1,710.99/x
  3. Step 3: Cross multiply
    5,408.54x = 8,114.03 × 1,710.99
  4. Step 4: Simplify right side
    5,408.54x = 13,883,015.63
  5. Step 5: Solve for x
    x = 13,883,015.63/5,408.54
  6. Step 6: Final answer
    x = 2,566.87

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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.