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Finding the Fourth Proportional to 3,785.58, 5,671.89 and 2,055.42

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Solution

The fourth proportional to 3,785.58, 5,671.89 and 2,055.42 is: 3,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.58 : 5,671.89 = 2,055.42 : x
  2. Step 2: Convert to fraction form
    3,785.58/5,671.89 = 2,055.42/x
  3. Step 3: Cross multiply
    3,785.58x = 5,671.89 × 2,055.42
  4. Step 4: Simplify right side
    3,785.58x = 11,658,116.14
  5. Step 5: Solve for x
    x = 11,658,116.14/3,785.58
  6. Step 6: Final answer
    x = 3,079.61

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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.