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Finding the Fourth Proportional to 6,735.38, 9,287.30 and 5,790.10

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Solution

The fourth proportional to 6,735.38, 9,287.30 and 5,790.10 is: 7,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.38 : 9,287.30 = 5,790.10 : x
  2. Step 2: Convert to fraction form
    6,735.38/9,287.30 = 5,790.10/x
  3. Step 3: Cross multiply
    6,735.38x = 9,287.30 × 5,790.10
  4. Step 4: Simplify right side
    6,735.38x = 53,774,395.73
  5. Step 5: Solve for x
    x = 53,774,395.73/6,735.38
  6. Step 6: Final answer
    x = 7,983.87

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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.