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Finding the Fourth Proportional to 5,632.94, 8,408.15 and 4,967.90

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Solution

The fourth proportional to 5,632.94, 8,408.15 and 4,967.90 is: 7,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.94 : 8,408.15 = 4,967.90 : x
  2. Step 2: Convert to fraction form
    5,632.94/8,408.15 = 4,967.90/x
  3. Step 3: Cross multiply
    5,632.94x = 8,408.15 × 4,967.90
  4. Step 4: Simplify right side
    5,632.94x = 41,770,844.57
  5. Step 5: Solve for x
    x = 41,770,844.57/5,632.94
  6. Step 6: Final answer
    x = 7,415.47

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Why These Related Problems?

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