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Finding the Fourth Proportional to 5,876.86, 8,814.33 and 2,178.22

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Solution

The fourth proportional to 5,876.86, 8,814.33 and 2,178.22 is: 3,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.86 : 8,814.33 = 2,178.22 : x
  2. Step 2: Convert to fraction form
    5,876.86/8,814.33 = 2,178.22/x
  3. Step 3: Cross multiply
    5,876.86x = 8,814.33 × 2,178.22
  4. Step 4: Simplify right side
    5,876.86x = 19,199,549.89
  5. Step 5: Solve for x
    x = 19,199,549.89/5,876.86
  6. Step 6: Final answer
    x = 3,266.97

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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.