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Finding the Fourth Proportional to 4,731.56, 7,096.53 and 1,268

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Solution

The fourth proportional to 4,731.56, 7,096.53 and 1,268 is: 1,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.56 : 7,096.53 = 1,268 : x
  2. Step 2: Convert to fraction form
    4,731.56/7,096.53 = 1,268/x
  3. Step 3: Cross multiply
    4,731.56x = 7,096.53 × 1,268
  4. Step 4: Simplify right side
    4,731.56x = 8,998,400.04
  5. Step 5: Solve for x
    x = 8,998,400.04/4,731.56
  6. Step 6: Final answer
    x = 1,901.78

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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.