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Finding the Fourth Proportional to 3,789.90, 5,670 and 2,493.90

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Solution

The fourth proportional to 3,789.90, 5,670 and 2,493.90 is: 3,731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.90 : 5,670 = 2,493.90 : x
  2. Step 2: Convert to fraction form
    3,789.90/5,670 = 2,493.90/x
  3. Step 3: Cross multiply
    3,789.90x = 5,670 × 2,493.90
  4. Step 4: Simplify right side
    3,789.90x = 14,140,413
  5. Step 5: Solve for x
    x = 14,140,413/3,789.90
  6. Step 6: Final answer
    x = 3,731.08

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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.