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Finding the Fourth Proportional to 5,164.94, 7,747.32 and 1,269.34

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Solution

The fourth proportional to 5,164.94, 7,747.32 and 1,269.34 is: 1,903.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.94 : 7,747.32 = 1,269.34 : x
  2. Step 2: Convert to fraction form
    5,164.94/7,747.32 = 1,269.34/x
  3. Step 3: Cross multiply
    5,164.94x = 7,747.32 × 1,269.34
  4. Step 4: Simplify right side
    5,164.94x = 9,833,983.17
  5. Step 5: Solve for x
    x = 9,833,983.17/5,164.94
  6. Step 6: Final answer
    x = 1,903.99

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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.