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Finding the Fourth Proportional to 3,848.10, 5,745.92 and 3,059.22

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Solution

The fourth proportional to 3,848.10, 5,745.92 and 3,059.22 is: 4,567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.10 : 5,745.92 = 3,059.22 : x
  2. Step 2: Convert to fraction form
    3,848.10/5,745.92 = 3,059.22/x
  3. Step 3: Cross multiply
    3,848.10x = 5,745.92 × 3,059.22
  4. Step 4: Simplify right side
    3,848.10x = 17,578,033.38
  5. Step 5: Solve for x
    x = 17,578,033.38/3,848.10
  6. Step 6: Final answer
    x = 4,567.98

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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.