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Finding the Fourth Proportional to 3,800.30, 5,703.50 and 2,760.76

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Solution

The fourth proportional to 3,800.30, 5,703.50 and 2,760.76 is: 4,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.30 : 5,703.50 = 2,760.76 : x
  2. Step 2: Convert to fraction form
    3,800.30/5,703.50 = 2,760.76/x
  3. Step 3: Cross multiply
    3,800.30x = 5,703.50 × 2,760.76
  4. Step 4: Simplify right side
    3,800.30x = 15,745,994.66
  5. Step 5: Solve for x
    x = 15,745,994.66/3,800.30
  6. Step 6: Final answer
    x = 4,143.36

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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.