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Finding the Fourth Proportional to 3,848.41, 5,731.09 and 3,599.30

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Solution

The fourth proportional to 3,848.41, 5,731.09 and 3,599.30 is: 5,360.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.41 : 5,731.09 = 3,599.30 : x
  2. Step 2: Convert to fraction form
    3,848.41/5,731.09 = 3,599.30/x
  3. Step 3: Cross multiply
    3,848.41x = 5,731.09 × 3,599.30
  4. Step 4: Simplify right side
    3,848.41x = 20,627,912.24
  5. Step 5: Solve for x
    x = 20,627,912.24/3,848.41
  6. Step 6: Final answer
    x = 5,360.11

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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.