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Finding the Fourth Proportional to 5,844.84, 8,065.65 and 3,192.25

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Solution

The fourth proportional to 5,844.84, 8,065.65 and 3,192.25 is: 4,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.84 : 8,065.65 = 3,192.25 : x
  2. Step 2: Convert to fraction form
    5,844.84/8,065.65 = 3,192.25/x
  3. Step 3: Cross multiply
    5,844.84x = 8,065.65 × 3,192.25
  4. Step 4: Simplify right side
    5,844.84x = 25,747,571.21
  5. Step 5: Solve for x
    x = 25,747,571.21/5,844.84
  6. Step 6: Final answer
    x = 4,405.18

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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.