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Finding the Fourth Proportional to 3,858.31, 5,803.89 and 3,497.46

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Solution

The fourth proportional to 3,858.31, 5,803.89 and 3,497.46 is: 5,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.31 : 5,803.89 = 3,497.46 : x
  2. Step 2: Convert to fraction form
    3,858.31/5,803.89 = 3,497.46/x
  3. Step 3: Cross multiply
    3,858.31x = 5,803.89 × 3,497.46
  4. Step 4: Simplify right side
    3,858.31x = 20,298,873.12
  5. Step 5: Solve for x
    x = 20,298,873.12/3,858.31
  6. Step 6: Final answer
    x = 5,261.08

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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.