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Finding the Fourth Proportional to 6,078.48, 8,382.56 and 5,626

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Solution

The fourth proportional to 6,078.48, 8,382.56 and 5,626 is: 7,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.48 : 8,382.56 = 5,626 : x
  2. Step 2: Convert to fraction form
    6,078.48/8,382.56 = 5,626/x
  3. Step 3: Cross multiply
    6,078.48x = 8,382.56 × 5,626
  4. Step 4: Simplify right side
    6,078.48x = 47,160,282.56
  5. Step 5: Solve for x
    x = 47,160,282.56/6,078.48
  6. Step 6: Final answer
    x = 7,758.57

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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.