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Finding the Fourth Proportional to 3,883.46, 5,820.32 and 3,058.47

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Solution

The fourth proportional to 3,883.46, 5,820.32 and 3,058.47 is: 4,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.46 : 5,820.32 = 3,058.47 : x
  2. Step 2: Convert to fraction form
    3,883.46/5,820.32 = 3,058.47/x
  3. Step 3: Cross multiply
    3,883.46x = 5,820.32 × 3,058.47
  4. Step 4: Simplify right side
    3,883.46x = 17,801,274.11
  5. Step 5: Solve for x
    x = 17,801,274.11/3,883.46
  6. Step 6: Final answer
    x = 4,583.88

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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.