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Finding the Fourth Proportional to 4,235.84, 5,843.88 and 2,744.58

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Solution

The fourth proportional to 4,235.84, 5,843.88 and 2,744.58 is: 3,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.84 : 5,843.88 = 2,744.58 : x
  2. Step 2: Convert to fraction form
    4,235.84/5,843.88 = 2,744.58/x
  3. Step 3: Cross multiply
    4,235.84x = 5,843.88 × 2,744.58
  4. Step 4: Simplify right side
    4,235.84x = 16,038,996.17
  5. Step 5: Solve for x
    x = 16,038,996.17/4,235.84
  6. Step 6: Final answer
    x = 3,786.50

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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.