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Finding the Fourth Proportional to 6,583, 9,084.54 and 3,639

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Solution

The fourth proportional to 6,583, 9,084.54 and 3,639 is: 5,021.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583 : 9,084.54 = 3,639 : x
  2. Step 2: Convert to fraction form
    6,583/9,084.54 = 3,639/x
  3. Step 3: Cross multiply
    6,583x = 9,084.54 × 3,639
  4. Step 4: Simplify right side
    6,583x = 33,058,641.06
  5. Step 5: Solve for x
    x = 33,058,641.06/6,583
  6. Step 6: Final answer
    x = 5,021.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.