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Finding the Fourth Proportional to 4,894.44, 7,342.79 and 2,121.58

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Solution

The fourth proportional to 4,894.44, 7,342.79 and 2,121.58 is: 3,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.44 : 7,342.79 = 2,121.58 : x
  2. Step 2: Convert to fraction form
    4,894.44/7,342.79 = 2,121.58/x
  3. Step 3: Cross multiply
    4,894.44x = 7,342.79 × 2,121.58
  4. Step 4: Simplify right side
    4,894.44x = 15,578,316.41
  5. Step 5: Solve for x
    x = 15,578,316.41/4,894.44
  6. Step 6: Final answer
    x = 3,182.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.