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Finding the Fourth Proportional to 5,878.26, 8,114.67 and 3,756.69

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Solution

The fourth proportional to 5,878.26, 8,114.67 and 3,756.69 is: 5,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.26 : 8,114.67 = 3,756.69 : x
  2. Step 2: Convert to fraction form
    5,878.26/8,114.67 = 3,756.69/x
  3. Step 3: Cross multiply
    5,878.26x = 8,114.67 × 3,756.69
  4. Step 4: Simplify right side
    5,878.26x = 30,484,299.64
  5. Step 5: Solve for x
    x = 30,484,299.64/5,878.26
  6. Step 6: Final answer
    x = 5,185.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.