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Finding the Fourth Proportional to 4,118.46, 5,683.44 and 2,255.46

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Solution

The fourth proportional to 4,118.46, 5,683.44 and 2,255.46 is: 3,112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.46 : 5,683.44 = 2,255.46 : x
  2. Step 2: Convert to fraction form
    4,118.46/5,683.44 = 2,255.46/x
  3. Step 3: Cross multiply
    4,118.46x = 5,683.44 × 2,255.46
  4. Step 4: Simplify right side
    4,118.46x = 12,818,771.58
  5. Step 5: Solve for x
    x = 12,818,771.58/4,118.46
  6. Step 6: Final answer
    x = 3,112.52

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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.