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Finding the Fourth Proportional to 5,146.94, 7,720.38 and 1,251.38

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Solution

The fourth proportional to 5,146.94, 7,720.38 and 1,251.38 is: 1,877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.94 : 7,720.38 = 1,251.38 : x
  2. Step 2: Convert to fraction form
    5,146.94/7,720.38 = 1,251.38/x
  3. Step 3: Cross multiply
    5,146.94x = 7,720.38 × 1,251.38
  4. Step 4: Simplify right side
    5,146.94x = 9,661,090.52
  5. Step 5: Solve for x
    x = 9,661,090.52/5,146.94
  6. Step 6: Final answer
    x = 1,877.06

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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.