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Finding the Fourth Proportional to 6,585.12, 9,084.42 and 3,789

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Solution

The fourth proportional to 6,585.12, 9,084.42 and 3,789 is: 5,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.12 : 9,084.42 = 3,789 : x
  2. Step 2: Convert to fraction form
    6,585.12/9,084.42 = 3,789/x
  3. Step 3: Cross multiply
    6,585.12x = 9,084.42 × 3,789
  4. Step 4: Simplify right side
    6,585.12x = 34,420,867.38
  5. Step 5: Solve for x
    x = 34,420,867.38/6,585.12
  6. Step 6: Final answer
    x = 5,227.07

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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.