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Finding the Fourth Proportional to 5,446.93, 8,169.42 and 1,444.34

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Solution

The fourth proportional to 5,446.93, 8,169.42 and 1,444.34 is: 2,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.93 : 8,169.42 = 1,444.34 : x
  2. Step 2: Convert to fraction form
    5,446.93/8,169.42 = 1,444.34/x
  3. Step 3: Cross multiply
    5,446.93x = 8,169.42 × 1,444.34
  4. Step 4: Simplify right side
    5,446.93x = 11,799,420.08
  5. Step 5: Solve for x
    x = 11,799,420.08/5,446.93
  6. Step 6: Final answer
    x = 2,166.25

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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.