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Finding the Fourth Proportional to 4,380.14, 6,569.22 and 1,260.14

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Solution

The fourth proportional to 4,380.14, 6,569.22 and 1,260.14 is: 1,889.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380.14 : 6,569.22 = 1,260.14 : x
  2. Step 2: Convert to fraction form
    4,380.14/6,569.22 = 1,260.14/x
  3. Step 3: Cross multiply
    4,380.14x = 6,569.22 × 1,260.14
  4. Step 4: Simplify right side
    4,380.14x = 8,278,136.89
  5. Step 5: Solve for x
    x = 8,278,136.89/4,380.14
  6. Step 6: Final answer
    x = 1,889.93

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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.