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Finding the Fourth Proportional to 4,885.38, 7,326.72 and 1,965.24

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Solution

The fourth proportional to 4,885.38, 7,326.72 and 1,965.24 is: 2,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.38 : 7,326.72 = 1,965.24 : x
  2. Step 2: Convert to fraction form
    4,885.38/7,326.72 = 1,965.24/x
  3. Step 3: Cross multiply
    4,885.38x = 7,326.72 × 1,965.24
  4. Step 4: Simplify right side
    4,885.38x = 14,398,763.21
  5. Step 5: Solve for x
    x = 14,398,763.21/4,885.38
  6. Step 6: Final answer
    x = 2,947.32

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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.