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Finding the Fourth Proportional to 4,760.19, 7,141.20 and 1,639.47

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Solution

The fourth proportional to 4,760.19, 7,141.20 and 1,639.47 is: 2,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.19 : 7,141.20 = 1,639.47 : x
  2. Step 2: Convert to fraction form
    4,760.19/7,141.20 = 1,639.47/x
  3. Step 3: Cross multiply
    4,760.19x = 7,141.20 × 1,639.47
  4. Step 4: Simplify right side
    4,760.19x = 11,707,783.16
  5. Step 5: Solve for x
    x = 11,707,783.16/4,760.19
  6. Step 6: Final answer
    x = 2,459.52

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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.