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Finding the Fourth Proportional to 5,710.67, 8,566.86 and 2,012.25

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Solution

The fourth proportional to 5,710.67, 8,566.86 and 2,012.25 is: 3,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.67 : 8,566.86 = 2,012.25 : x
  2. Step 2: Convert to fraction form
    5,710.67/8,566.86 = 2,012.25/x
  3. Step 3: Cross multiply
    5,710.67x = 8,566.86 × 2,012.25
  4. Step 4: Simplify right side
    5,710.67x = 17,238,664.04
  5. Step 5: Solve for x
    x = 17,238,664.04/5,710.67
  6. Step 6: Final answer
    x = 3,018.68

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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.