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Finding the Fourth Proportional to 3,889.29, 5,830.74 and 1,548.29

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Solution

The fourth proportional to 3,889.29, 5,830.74 and 1,548.29 is: 2,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.29 : 5,830.74 = 1,548.29 : x
  2. Step 2: Convert to fraction form
    3,889.29/5,830.74 = 1,548.29/x
  3. Step 3: Cross multiply
    3,889.29x = 5,830.74 × 1,548.29
  4. Step 4: Simplify right side
    3,889.29x = 9,027,691.01
  5. Step 5: Solve for x
    x = 9,027,691.01/3,889.29
  6. Step 6: Final answer
    x = 2,321.17

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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.