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Finding the Fourth Proportional to 4,760.72, 7,139.68 and 1,640.20

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Solution

The fourth proportional to 4,760.72, 7,139.68 and 1,640.20 is: 2,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.72 : 7,139.68 = 1,640.20 : x
  2. Step 2: Convert to fraction form
    4,760.72/7,139.68 = 1,640.20/x
  3. Step 3: Cross multiply
    4,760.72x = 7,139.68 × 1,640.20
  4. Step 4: Simplify right side
    4,760.72x = 11,710,503.14
  5. Step 5: Solve for x
    x = 11,710,503.14/4,760.72
  6. Step 6: Final answer
    x = 2,459.82

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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.