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Finding the Fourth Proportional to 5,852.24, 8,081.34 and 5,444

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Solution

The fourth proportional to 5,852.24, 8,081.34 and 5,444 is: 7,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.24 : 8,081.34 = 5,444 : x
  2. Step 2: Convert to fraction form
    5,852.24/8,081.34 = 5,444/x
  3. Step 3: Cross multiply
    5,852.24x = 8,081.34 × 5,444
  4. Step 4: Simplify right side
    5,852.24x = 43,994,814.96
  5. Step 5: Solve for x
    x = 43,994,814.96/5,852.24
  6. Step 6: Final answer
    x = 7,517.60

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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.