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Finding the Fourth Proportional to 4,760.08, 7,138.34 and 1,639.20

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Solution

The fourth proportional to 4,760.08, 7,138.34 and 1,639.20 is: 2,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.08 : 7,138.34 = 1,639.20 : x
  2. Step 2: Convert to fraction form
    4,760.08/7,138.34 = 1,639.20/x
  3. Step 3: Cross multiply
    4,760.08x = 7,138.34 × 1,639.20
  4. Step 4: Simplify right side
    4,760.08x = 11,701,166.93
  5. Step 5: Solve for x
    x = 11,701,166.93/4,760.08
  6. Step 6: Final answer
    x = 2,458.19

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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.