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Finding the Fourth Proportional to 5,770.31, 8,656.92 and 1,610.31

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Solution

The fourth proportional to 5,770.31, 8,656.92 and 1,610.31 is: 2,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.31 : 8,656.92 = 1,610.31 : x
  2. Step 2: Convert to fraction form
    5,770.31/8,656.92 = 1,610.31/x
  3. Step 3: Cross multiply
    5,770.31x = 8,656.92 × 1,610.31
  4. Step 4: Simplify right side
    5,770.31x = 13,940,318.81
  5. Step 5: Solve for x
    x = 13,940,318.81/5,770.31
  6. Step 6: Final answer
    x = 2,415.87

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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.