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Finding the Fourth Proportional to 3,927.60, 5,858.31 and 3,655.44

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Solution

The fourth proportional to 3,927.60, 5,858.31 and 3,655.44 is: 5,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.60 : 5,858.31 = 3,655.44 : x
  2. Step 2: Convert to fraction form
    3,927.60/5,858.31 = 3,655.44/x
  3. Step 3: Cross multiply
    3,927.60x = 5,858.31 × 3,655.44
  4. Step 4: Simplify right side
    3,927.60x = 21,414,700.71
  5. Step 5: Solve for x
    x = 21,414,700.71/3,927.60
  6. Step 6: Final answer
    x = 5,452.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.