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Finding the Fourth Proportional to 3,583.71, 5,376.82 and 1,393.97

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Solution

The fourth proportional to 3,583.71, 5,376.82 and 1,393.97 is: 2,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.71 : 5,376.82 = 1,393.97 : x
  2. Step 2: Convert to fraction form
    3,583.71/5,376.82 = 1,393.97/x
  3. Step 3: Cross multiply
    3,583.71x = 5,376.82 × 1,393.97
  4. Step 4: Simplify right side
    3,583.71x = 7,495,135.73
  5. Step 5: Solve for x
    x = 7,495,135.73/3,583.71
  6. Step 6: Final answer
    x = 2,091.45

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Why These Related Problems?

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