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Finding the Fourth Proportional to 3,702.71, 5,552.09 and 1,362.09

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Solution

The fourth proportional to 3,702.71, 5,552.09 and 1,362.09 is: 2,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.71 : 5,552.09 = 1,362.09 : x
  2. Step 2: Convert to fraction form
    3,702.71/5,552.09 = 1,362.09/x
  3. Step 3: Cross multiply
    3,702.71x = 5,552.09 × 1,362.09
  4. Step 4: Simplify right side
    3,702.71x = 7,562,457.43
  5. Step 5: Solve for x
    x = 7,562,457.43/3,702.71
  6. Step 6: Final answer
    x = 2,042.41

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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.