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Finding the Fourth Proportional to 3,794.29, 5,693.59 and 1,330.94

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Solution

The fourth proportional to 3,794.29, 5,693.59 and 1,330.94 is: 1,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.29 : 5,693.59 = 1,330.94 : x
  2. Step 2: Convert to fraction form
    3,794.29/5,693.59 = 1,330.94/x
  3. Step 3: Cross multiply
    3,794.29x = 5,693.59 × 1,330.94
  4. Step 4: Simplify right side
    3,794.29x = 7,577,826.67
  5. Step 5: Solve for x
    x = 7,577,826.67/3,794.29
  6. Step 6: Final answer
    x = 1,997.17

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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.