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Finding the Fourth Proportional to 3,927.89, 5,429.16 and 3,452.22

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Solution

The fourth proportional to 3,927.89, 5,429.16 and 3,452.22 is: 4,771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.89 : 5,429.16 = 3,452.22 : x
  2. Step 2: Convert to fraction form
    3,927.89/5,429.16 = 3,452.22/x
  3. Step 3: Cross multiply
    3,927.89x = 5,429.16 × 3,452.22
  4. Step 4: Simplify right side
    3,927.89x = 18,742,654.74
  5. Step 5: Solve for x
    x = 18,742,654.74/3,927.89
  6. Step 6: Final answer
    x = 4,771.68

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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.