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Finding the Fourth Proportional to 5,700.02, 7,865.45 and 3,813.73

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Solution

The fourth proportional to 5,700.02, 7,865.45 and 3,813.73 is: 5,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.02 : 7,865.45 = 3,813.73 : x
  2. Step 2: Convert to fraction form
    5,700.02/7,865.45 = 3,813.73/x
  3. Step 3: Cross multiply
    5,700.02x = 7,865.45 × 3,813.73
  4. Step 4: Simplify right side
    5,700.02x = 29,996,743.89
  5. Step 5: Solve for x
    x = 29,996,743.89/5,700.02
  6. Step 6: Final answer
    x = 5,262.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.