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Finding the Fourth Proportional to 3,687.57, 5,088.96 and 2,009.07

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Solution

The fourth proportional to 3,687.57, 5,088.96 and 2,009.07 is: 2,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.57 : 5,088.96 = 2,009.07 : x
  2. Step 2: Convert to fraction form
    3,687.57/5,088.96 = 2,009.07/x
  3. Step 3: Cross multiply
    3,687.57x = 5,088.96 × 2,009.07
  4. Step 4: Simplify right side
    3,687.57x = 10,224,076.87
  5. Step 5: Solve for x
    x = 10,224,076.87/3,687.57
  6. Step 6: Final answer
    x = 2,772.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.