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Finding the Fourth Proportional to 4,974.28, 7,464.66 and 1,896.28

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Solution

The fourth proportional to 4,974.28, 7,464.66 and 1,896.28 is: 2,845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.28 : 7,464.66 = 1,896.28 : x
  2. Step 2: Convert to fraction form
    4,974.28/7,464.66 = 1,896.28/x
  3. Step 3: Cross multiply
    4,974.28x = 7,464.66 × 1,896.28
  4. Step 4: Simplify right side
    4,974.28x = 14,155,085.46
  5. Step 5: Solve for x
    x = 14,155,085.46/4,974.28
  6. Step 6: Final answer
    x = 2,845.66

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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.