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Finding the Fourth Proportional to 4,144.81, 5,719.98 and 2,256.55

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Solution

The fourth proportional to 4,144.81, 5,719.98 and 2,256.55 is: 3,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.81 : 5,719.98 = 2,256.55 : x
  2. Step 2: Convert to fraction form
    4,144.81/5,719.98 = 2,256.55/x
  3. Step 3: Cross multiply
    4,144.81x = 5,719.98 × 2,256.55
  4. Step 4: Simplify right side
    4,144.81x = 12,907,420.87
  5. Step 5: Solve for x
    x = 12,907,420.87/4,144.81
  6. Step 6: Final answer
    x = 3,114.12

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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.