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Finding the Fourth Proportional to 4,760.39, 7,141.07 and 1,639.98

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Solution

The fourth proportional to 4,760.39, 7,141.07 and 1,639.98 is: 2,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.39 : 7,141.07 = 1,639.98 : x
  2. Step 2: Convert to fraction form
    4,760.39/7,141.07 = 1,639.98/x
  3. Step 3: Cross multiply
    4,760.39x = 7,141.07 × 1,639.98
  4. Step 4: Simplify right side
    4,760.39x = 11,711,203.78
  5. Step 5: Solve for x
    x = 11,711,203.78/4,760.39
  6. Step 6: Final answer
    x = 2,460.14

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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.