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Finding the Fourth Proportional to 4,496.31, 6,745.28 and 2,032.29

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Solution

The fourth proportional to 4,496.31, 6,745.28 and 2,032.29 is: 3,048.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.31 : 6,745.28 = 2,032.29 : x
  2. Step 2: Convert to fraction form
    4,496.31/6,745.28 = 2,032.29/x
  3. Step 3: Cross multiply
    4,496.31x = 6,745.28 × 2,032.29
  4. Step 4: Simplify right side
    4,496.31x = 13,708,354.93
  5. Step 5: Solve for x
    x = 13,708,354.93/4,496.31
  6. Step 6: Final answer
    x = 3,048.80

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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.