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Finding the Fourth Proportional to 4,753.89, 7,130.84 and 1,291.14

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Solution

The fourth proportional to 4,753.89, 7,130.84 and 1,291.14 is: 1,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.89 : 7,130.84 = 1,291.14 : x
  2. Step 2: Convert to fraction form
    4,753.89/7,130.84 = 1,291.14/x
  3. Step 3: Cross multiply
    4,753.89x = 7,130.84 × 1,291.14
  4. Step 4: Simplify right side
    4,753.89x = 9,206,912.76
  5. Step 5: Solve for x
    x = 9,206,912.76/4,753.89
  6. Step 6: Final answer
    x = 1,936.71

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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.