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Finding the Fourth Proportional to 5,408.40, 8,111.91 and 1,711.00

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Solution

The fourth proportional to 5,408.40, 8,111.91 and 1,711.00 is: 2,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.40 : 8,111.91 = 1,711.00 : x
  2. Step 2: Convert to fraction form
    5,408.40/8,111.91 = 1,711.00/x
  3. Step 3: Cross multiply
    5,408.40x = 8,111.91 × 1,711.00
  4. Step 4: Simplify right side
    5,408.40x = 13,879,464.53
  5. Step 5: Solve for x
    x = 13,879,464.53/5,408.40
  6. Step 6: Final answer
    x = 2,566.28

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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.