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Finding the Fourth Proportional to 3,384.47, 5,076.86 and 1,193.22

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Solution

The fourth proportional to 3,384.47, 5,076.86 and 1,193.22 is: 1,789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.47 : 5,076.86 = 1,193.22 : x
  2. Step 2: Convert to fraction form
    3,384.47/5,076.86 = 1,193.22/x
  3. Step 3: Cross multiply
    3,384.47x = 5,076.86 × 1,193.22
  4. Step 4: Simplify right side
    3,384.47x = 6,057,810.89
  5. Step 5: Solve for x
    x = 6,057,810.89/3,384.47
  6. Step 6: Final answer
    x = 1,789.88

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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.