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Finding the Fourth Proportional to 3,289.92, 4,930.52 and 1,438.24

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Solution

The fourth proportional to 3,289.92, 4,930.52 and 1,438.24 is: 2,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.92 : 4,930.52 = 1,438.24 : x
  2. Step 2: Convert to fraction form
    3,289.92/4,930.52 = 1,438.24/x
  3. Step 3: Cross multiply
    3,289.92x = 4,930.52 × 1,438.24
  4. Step 4: Simplify right side
    3,289.92x = 7,091,271.08
  5. Step 5: Solve for x
    x = 7,091,271.08/3,289.92
  6. Step 6: Final answer
    x = 2,155.45

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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.