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Finding the Fourth Proportional to 3,661.59, 5,053.01 and 2,089.65

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Solution

The fourth proportional to 3,661.59, 5,053.01 and 2,089.65 is: 2,883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.59 : 5,053.01 = 2,089.65 : x
  2. Step 2: Convert to fraction form
    3,661.59/5,053.01 = 2,089.65/x
  3. Step 3: Cross multiply
    3,661.59x = 5,053.01 × 2,089.65
  4. Step 4: Simplify right side
    3,661.59x = 10,559,022.35
  5. Step 5: Solve for x
    x = 10,559,022.35/3,661.59
  6. Step 6: Final answer
    x = 2,883.73

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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.