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Finding the Fourth Proportional to 3,586.80, 5,379.72 and 1,278

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Solution

The fourth proportional to 3,586.80, 5,379.72 and 1,278 is: 1,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.80 : 5,379.72 = 1,278 : x
  2. Step 2: Convert to fraction form
    3,586.80/5,379.72 = 1,278/x
  3. Step 3: Cross multiply
    3,586.80x = 5,379.72 × 1,278
  4. Step 4: Simplify right side
    3,586.80x = 6,875,282.16
  5. Step 5: Solve for x
    x = 6,875,282.16/3,586.80
  6. Step 6: Final answer
    x = 1,916.83

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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.