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Finding the Fourth Proportional to 5,858.69, 8,782.39 and 2,158.90

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Solution

The fourth proportional to 5,858.69, 8,782.39 and 2,158.90 is: 3,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.69 : 8,782.39 = 2,158.90 : x
  2. Step 2: Convert to fraction form
    5,858.69/8,782.39 = 2,158.90/x
  3. Step 3: Cross multiply
    5,858.69x = 8,782.39 × 2,158.90
  4. Step 4: Simplify right side
    5,858.69x = 18,960,274.42
  5. Step 5: Solve for x
    x = 18,960,274.42/5,858.69
  6. Step 6: Final answer
    x = 3,236.26

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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.