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Finding the Fourth Proportional to 5,789.16, 8,679.42 and 2,710.44

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Solution

The fourth proportional to 5,789.16, 8,679.42 and 2,710.44 is: 4,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.16 : 8,679.42 = 2,710.44 : x
  2. Step 2: Convert to fraction form
    5,789.16/8,679.42 = 2,710.44/x
  3. Step 3: Cross multiply
    5,789.16x = 8,679.42 × 2,710.44
  4. Step 4: Simplify right side
    5,789.16x = 23,525,047.14
  5. Step 5: Solve for x
    x = 23,525,047.14/5,789.16
  6. Step 6: Final answer
    x = 4,063.64

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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.