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Finding the Fourth Proportional to 3,665.85, 5,058.87 and 2,174.50

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Solution

The fourth proportional to 3,665.85, 5,058.87 and 2,174.50 is: 3,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.85 : 5,058.87 = 2,174.50 : x
  2. Step 2: Convert to fraction form
    3,665.85/5,058.87 = 2,174.50/x
  3. Step 3: Cross multiply
    3,665.85x = 5,058.87 × 2,174.50
  4. Step 4: Simplify right side
    3,665.85x = 11,000,512.82
  5. Step 5: Solve for x
    x = 11,000,512.82/3,665.85
  6. Step 6: Final answer
    x = 3,000.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.