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Finding the Fourth Proportional to 3,641.47, 5,461.67 and 1,792.09

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Solution

The fourth proportional to 3,641.47, 5,461.67 and 1,792.09 is: 2,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.47 : 5,461.67 = 1,792.09 : x
  2. Step 2: Convert to fraction form
    3,641.47/5,461.67 = 1,792.09/x
  3. Step 3: Cross multiply
    3,641.47x = 5,461.67 × 1,792.09
  4. Step 4: Simplify right side
    3,641.47x = 9,787,804.19
  5. Step 5: Solve for x
    x = 9,787,804.19/3,641.47
  6. Step 6: Final answer
    x = 2,687.87

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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.