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Finding the Fourth Proportional to 3,583.97, 5,373.86 and 1,084.42

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Solution

The fourth proportional to 3,583.97, 5,373.86 and 1,084.42 is: 1,625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.97 : 5,373.86 = 1,084.42 : x
  2. Step 2: Convert to fraction form
    3,583.97/5,373.86 = 1,084.42/x
  3. Step 3: Cross multiply
    3,583.97x = 5,373.86 × 1,084.42
  4. Step 4: Simplify right side
    3,583.97x = 5,827,488.97
  5. Step 5: Solve for x
    x = 5,827,488.97/3,583.97
  6. Step 6: Final answer
    x = 1,625.99

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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.