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Finding the Fourth Proportional to 4,393.84, 6,061.80 and 2,822.80

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Solution

The fourth proportional to 4,393.84, 6,061.80 and 2,822.80 is: 3,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.84 : 6,061.80 = 2,822.80 : x
  2. Step 2: Convert to fraction form
    4,393.84/6,061.80 = 2,822.80/x
  3. Step 3: Cross multiply
    4,393.84x = 6,061.80 × 2,822.80
  4. Step 4: Simplify right side
    4,393.84x = 17,111,249.04
  5. Step 5: Solve for x
    x = 17,111,249.04/4,393.84
  6. Step 6: Final answer
    x = 3,894.37

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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.