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Finding the Fourth Proportional to 5,400, 8,050.86 and 5,069.52

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Solution

The fourth proportional to 5,400, 8,050.86 and 5,069.52 is: 7,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400 : 8,050.86 = 5,069.52 : x
  2. Step 2: Convert to fraction form
    5,400/8,050.86 = 5,069.52/x
  3. Step 3: Cross multiply
    5,400x = 8,050.86 × 5,069.52
  4. Step 4: Simplify right side
    5,400x = 40,813,995.79
  5. Step 5: Solve for x
    x = 40,813,995.79/5,400
  6. Step 6: Final answer
    x = 7,558.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.