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Finding the Fourth Proportional to 4,234.84, 5,842.51 and 2,743.58

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Solution

The fourth proportional to 4,234.84, 5,842.51 and 2,743.58 is: 3,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.84 : 5,842.51 = 2,743.58 : x
  2. Step 2: Convert to fraction form
    4,234.84/5,842.51 = 2,743.58/x
  3. Step 3: Cross multiply
    4,234.84x = 5,842.51 × 2,743.58
  4. Step 4: Simplify right side
    4,234.84x = 16,029,393.59
  5. Step 5: Solve for x
    x = 16,029,393.59/4,234.84
  6. Step 6: Final answer
    x = 3,785.12

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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.