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Finding the Fourth Proportional to 3,798.30, 5,700.50 and 2,758.76

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Solution

The fourth proportional to 3,798.30, 5,700.50 and 2,758.76 is: 4,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.30 : 5,700.50 = 2,758.76 : x
  2. Step 2: Convert to fraction form
    3,798.30/5,700.50 = 2,758.76/x
  3. Step 3: Cross multiply
    3,798.30x = 5,700.50 × 2,758.76
  4. Step 4: Simplify right side
    3,798.30x = 15,726,311.38
  5. Step 5: Solve for x
    x = 15,726,311.38/3,798.30
  6. Step 6: Final answer
    x = 4,140.36

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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.