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Finding the Fourth Proportional to 5,869, 8,085.48 and 4,097.44

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Solution

The fourth proportional to 5,869, 8,085.48 and 4,097.44 is: 5,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869 : 8,085.48 = 4,097.44 : x
  2. Step 2: Convert to fraction form
    5,869/8,085.48 = 4,097.44/x
  3. Step 3: Cross multiply
    5,869x = 8,085.48 × 4,097.44
  4. Step 4: Simplify right side
    5,869x = 33,129,769.17
  5. Step 5: Solve for x
    x = 33,129,769.17/5,869
  6. Step 6: Final answer
    x = 5,644.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.