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Finding the Fourth Proportional to 5,866.16, 8,796.09 and 2,575.46

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Solution

The fourth proportional to 5,866.16, 8,796.09 and 2,575.46 is: 3,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.16 : 8,796.09 = 2,575.46 : x
  2. Step 2: Convert to fraction form
    5,866.16/8,796.09 = 2,575.46/x
  3. Step 3: Cross multiply
    5,866.16x = 8,796.09 × 2,575.46
  4. Step 4: Simplify right side
    5,866.16x = 22,653,977.95
  5. Step 5: Solve for x
    x = 22,653,977.95/5,866.16
  6. Step 6: Final answer
    x = 3,861.81

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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.