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Finding the Fourth Proportional to 3,586.62, 5,379.93 and 1,278.12

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Solution

The fourth proportional to 3,586.62, 5,379.93 and 1,278.12 is: 1,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.62 : 5,379.93 = 1,278.12 : x
  2. Step 2: Convert to fraction form
    3,586.62/5,379.93 = 1,278.12/x
  3. Step 3: Cross multiply
    3,586.62x = 5,379.93 × 1,278.12
  4. Step 4: Simplify right side
    3,586.62x = 6,876,196.13
  5. Step 5: Solve for x
    x = 6,876,196.13/3,586.62
  6. Step 6: Final answer
    x = 1,917.18

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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.