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Finding the Fourth Proportional to 3,665.25, 5,498.69 and 1,356.75

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Solution

The fourth proportional to 3,665.25, 5,498.69 and 1,356.75 is: 2,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.25 : 5,498.69 = 1,356.75 : x
  2. Step 2: Convert to fraction form
    3,665.25/5,498.69 = 1,356.75/x
  3. Step 3: Cross multiply
    3,665.25x = 5,498.69 × 1,356.75
  4. Step 4: Simplify right side
    3,665.25x = 7,460,340.87
  5. Step 5: Solve for x
    x = 7,460,340.87/3,665.25
  6. Step 6: Final answer
    x = 2,035.42

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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.