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Finding the Fourth Proportional to 4,038.92, 6,052.68 and 3,213.52

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Solution

The fourth proportional to 4,038.92, 6,052.68 and 3,213.52 is: 4,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.92 : 6,052.68 = 3,213.52 : x
  2. Step 2: Convert to fraction form
    4,038.92/6,052.68 = 3,213.52/x
  3. Step 3: Cross multiply
    4,038.92x = 6,052.68 × 3,213.52
  4. Step 4: Simplify right side
    4,038.92x = 19,450,408.23
  5. Step 5: Solve for x
    x = 19,450,408.23/4,038.92
  6. Step 6: Final answer
    x = 4,815.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.