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Finding the Fourth Proportional to 3,661.68, 5,052.87 and 2,068.59

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Solution

The fourth proportional to 3,661.68, 5,052.87 and 2,068.59 is: 2,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.68 : 5,052.87 = 2,068.59 : x
  2. Step 2: Convert to fraction form
    3,661.68/5,052.87 = 2,068.59/x
  3. Step 3: Cross multiply
    3,661.68x = 5,052.87 × 2,068.59
  4. Step 4: Simplify right side
    3,661.68x = 10,452,316.35
  5. Step 5: Solve for x
    x = 10,452,316.35/3,661.68
  6. Step 6: Final answer
    x = 2,854.51

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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.