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Finding the Fourth Proportional to 5,756.70, 8,632.82 and 2,058.24

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Solution

The fourth proportional to 5,756.70, 8,632.82 and 2,058.24 is: 3,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.70 : 8,632.82 = 2,058.24 : x
  2. Step 2: Convert to fraction form
    5,756.70/8,632.82 = 2,058.24/x
  3. Step 3: Cross multiply
    5,756.70x = 8,632.82 × 2,058.24
  4. Step 4: Simplify right side
    5,756.70x = 17,768,415.44
  5. Step 5: Solve for x
    x = 17,768,415.44/5,756.70
  6. Step 6: Final answer
    x = 3,086.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.