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Finding the Fourth Proportional to 3,749.58, 5,172.58 and 2,424.42

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Solution

The fourth proportional to 3,749.58, 5,172.58 and 2,424.42 is: 3,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.58 : 5,172.58 = 2,424.42 : x
  2. Step 2: Convert to fraction form
    3,749.58/5,172.58 = 2,424.42/x
  3. Step 3: Cross multiply
    3,749.58x = 5,172.58 × 2,424.42
  4. Step 4: Simplify right side
    3,749.58x = 12,540,506.40
  5. Step 5: Solve for x
    x = 12,540,506.40/3,749.58
  6. Step 6: Final answer
    x = 3,344.51

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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.