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Finding the Fourth Proportional to 4,118.69, 5,683.75 and 2,230.24

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Solution

The fourth proportional to 4,118.69, 5,683.75 and 2,230.24 is: 3,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.69 : 5,683.75 = 2,230.24 : x
  2. Step 2: Convert to fraction form
    4,118.69/5,683.75 = 2,230.24/x
  3. Step 3: Cross multiply
    4,118.69x = 5,683.75 × 2,230.24
  4. Step 4: Simplify right side
    4,118.69x = 12,676,126.60
  5. Step 5: Solve for x
    x = 12,676,126.60/4,118.69
  6. Step 6: Final answer
    x = 3,077.71

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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.