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Finding the Fourth Proportional to 5,585.14, 8,371.83 and 1,883.86

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Solution

The fourth proportional to 5,585.14, 8,371.83 and 1,883.86 is: 2,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.14 : 8,371.83 = 1,883.86 : x
  2. Step 2: Convert to fraction form
    5,585.14/8,371.83 = 1,883.86/x
  3. Step 3: Cross multiply
    5,585.14x = 8,371.83 × 1,883.86
  4. Step 4: Simplify right side
    5,585.14x = 15,771,355.66
  5. Step 5: Solve for x
    x = 15,771,355.66/5,585.14
  6. Step 6: Final answer
    x = 2,823.81

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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.