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Finding the Fourth Proportional to 3,794.07, 5,234.91 and 2,301.95

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Solution

The fourth proportional to 3,794.07, 5,234.91 and 2,301.95 is: 3,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.07 : 5,234.91 = 2,301.95 : x
  2. Step 2: Convert to fraction form
    3,794.07/5,234.91 = 2,301.95/x
  3. Step 3: Cross multiply
    3,794.07x = 5,234.91 × 2,301.95
  4. Step 4: Simplify right side
    3,794.07x = 12,050,501.07
  5. Step 5: Solve for x
    x = 12,050,501.07/3,794.07
  6. Step 6: Final answer
    x = 3,176.14

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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.