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Finding the Fourth Proportional to 3,687.59, 5,088.86 and 2,009.00

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Solution

The fourth proportional to 3,687.59, 5,088.86 and 2,009.00 is: 2,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.59 : 5,088.86 = 2,009.00 : x
  2. Step 2: Convert to fraction form
    3,687.59/5,088.86 = 2,009.00/x
  3. Step 3: Cross multiply
    3,687.59x = 5,088.86 × 2,009.00
  4. Step 4: Simplify right side
    3,687.59x = 10,223,489.27
  5. Step 5: Solve for x
    x = 10,223,489.27/3,687.59
  6. Step 6: Final answer
    x = 2,772.40

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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.