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Finding the Fourth Proportional to 3,794.88, 5,235.52 and 2,302.28

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Solution

The fourth proportional to 3,794.88, 5,235.52 and 2,302.28 is: 3,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.88 : 5,235.52 = 2,302.28 : x
  2. Step 2: Convert to fraction form
    3,794.88/5,235.52 = 2,302.28/x
  3. Step 3: Cross multiply
    3,794.88x = 5,235.52 × 2,302.28
  4. Step 4: Simplify right side
    3,794.88x = 12,053,632.99
  5. Step 5: Solve for x
    x = 12,053,632.99/3,794.88
  6. Step 6: Final answer
    x = 3,176.29

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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.