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Finding the Fourth Proportional to 4,760.33, 7,141.19 and 1,473.71

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Solution

The fourth proportional to 4,760.33, 7,141.19 and 1,473.71 is: 2,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.33 : 7,141.19 = 1,473.71 : x
  2. Step 2: Convert to fraction form
    4,760.33/7,141.19 = 1,473.71/x
  3. Step 3: Cross multiply
    4,760.33x = 7,141.19 × 1,473.71
  4. Step 4: Simplify right side
    4,760.33x = 10,524,000.04
  5. Step 5: Solve for x
    x = 10,524,000.04/4,760.33
  6. Step 6: Final answer
    x = 2,210.77

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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.