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Finding the Fourth Proportional to 5,444.85, 8,165.91 and 2,323.32

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Solution

The fourth proportional to 5,444.85, 8,165.91 and 2,323.32 is: 3,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.85 : 8,165.91 = 2,323.32 : x
  2. Step 2: Convert to fraction form
    5,444.85/8,165.91 = 2,323.32/x
  3. Step 3: Cross multiply
    5,444.85x = 8,165.91 × 2,323.32
  4. Step 4: Simplify right side
    5,444.85x = 18,972,000.11
  5. Step 5: Solve for x
    x = 18,972,000.11/5,444.85
  6. Step 6: Final answer
    x = 3,484.39

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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.