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Finding the Fourth Proportional to 4,118.53, 5,683.62 and 2,255.53

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Solution

The fourth proportional to 4,118.53, 5,683.62 and 2,255.53 is: 3,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.53 : 5,683.62 = 2,255.53 : x
  2. Step 2: Convert to fraction form
    4,118.53/5,683.62 = 2,255.53/x
  3. Step 3: Cross multiply
    4,118.53x = 5,683.62 × 2,255.53
  4. Step 4: Simplify right side
    4,118.53x = 12,819,575.42
  5. Step 5: Solve for x
    x = 12,819,575.42/4,118.53
  6. Step 6: Final answer
    x = 3,112.66

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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.