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Finding the Fourth Proportional to 3,665, 5,058.06 and 2,093.12

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Solution

The fourth proportional to 3,665, 5,058.06 and 2,093.12 is: 2,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665 : 5,058.06 = 2,093.12 : x
  2. Step 2: Convert to fraction form
    3,665/5,058.06 = 2,093.12/x
  3. Step 3: Cross multiply
    3,665x = 5,058.06 × 2,093.12
  4. Step 4: Simplify right side
    3,665x = 10,587,126.55
  5. Step 5: Solve for x
    x = 10,587,126.55/3,665
  6. Step 6: Final answer
    x = 2,888.71

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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.