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Finding the Fourth Proportional to 4,205.29, 5,761.28 and 4,047.64

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Solution

The fourth proportional to 4,205.29, 5,761.28 and 4,047.64 is: 5,545.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.29 : 5,761.28 = 4,047.64 : x
  2. Step 2: Convert to fraction form
    4,205.29/5,761.28 = 4,047.64/x
  3. Step 3: Cross multiply
    4,205.29x = 5,761.28 × 4,047.64
  4. Step 4: Simplify right side
    4,205.29x = 23,319,587.38
  5. Step 5: Solve for x
    x = 23,319,587.38/4,205.29
  6. Step 6: Final answer
    x = 5,545.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.