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Finding the Fourth Proportional to 5,881.86, 8,814.24 and 3,684.30

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Solution

The fourth proportional to 5,881.86, 8,814.24 and 3,684.30 is: 5,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.86 : 8,814.24 = 3,684.30 : x
  2. Step 2: Convert to fraction form
    5,881.86/8,814.24 = 3,684.30/x
  3. Step 3: Cross multiply
    5,881.86x = 8,814.24 × 3,684.30
  4. Step 4: Simplify right side
    5,881.86x = 32,474,304.43
  5. Step 5: Solve for x
    x = 32,474,304.43/5,881.86
  6. Step 6: Final answer
    x = 5,521.09

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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.