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Finding the Fourth Proportional to 6,583.26, 9,084.62 and 3,599.13

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Solution

The fourth proportional to 6,583.26, 9,084.62 and 3,599.13 is: 4,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.26 : 9,084.62 = 3,599.13 : x
  2. Step 2: Convert to fraction form
    6,583.26/9,084.62 = 3,599.13/x
  3. Step 3: Cross multiply
    6,583.26x = 9,084.62 × 3,599.13
  4. Step 4: Simplify right side
    6,583.26x = 32,696,710.38
  5. Step 5: Solve for x
    x = 32,696,710.38/6,583.26
  6. Step 6: Final answer
    x = 4,966.64

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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.