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Finding the Fourth Proportional to 4,760.44, 7,139.09 and 1,640.39

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Solution

The fourth proportional to 4,760.44, 7,139.09 and 1,640.39 is: 2,460.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.44 : 7,139.09 = 1,640.39 : x
  2. Step 2: Convert to fraction form
    4,760.44/7,139.09 = 1,640.39/x
  3. Step 3: Cross multiply
    4,760.44x = 7,139.09 × 1,640.39
  4. Step 4: Simplify right side
    4,760.44x = 11,710,860.25
  5. Step 5: Solve for x
    x = 11,710,860.25/4,760.44
  6. Step 6: Final answer
    x = 2,460.04

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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.