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Finding the Fourth Proportional to 5,876.66, 8,814.99 and 3,428.57

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Solution

The fourth proportional to 5,876.66, 8,814.99 and 3,428.57 is: 5,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.66 : 8,814.99 = 3,428.57 : x
  2. Step 2: Convert to fraction form
    5,876.66/8,814.99 = 3,428.57/x
  3. Step 3: Cross multiply
    5,876.66x = 8,814.99 × 3,428.57
  4. Step 4: Simplify right side
    5,876.66x = 30,222,810.26
  5. Step 5: Solve for x
    x = 30,222,810.26/5,876.66
  6. Step 6: Final answer
    x = 5,142.86

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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.