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Finding the Fourth Proportional to 5,398.76, 8,092.75 and 2,280.50

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Solution

The fourth proportional to 5,398.76, 8,092.75 and 2,280.50 is: 3,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.76 : 8,092.75 = 2,280.50 : x
  2. Step 2: Convert to fraction form
    5,398.76/8,092.75 = 2,280.50/x
  3. Step 3: Cross multiply
    5,398.76x = 8,092.75 × 2,280.50
  4. Step 4: Simplify right side
    5,398.76x = 18,455,470.21
  5. Step 5: Solve for x
    x = 18,455,470.21/5,398.76
  6. Step 6: Final answer
    x = 3,418.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.