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Finding the Fourth Proportional to 6,108.98, 8,430.38 and 3,314.48

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Solution

The fourth proportional to 6,108.98, 8,430.38 and 3,314.48 is: 4,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.98 : 8,430.38 = 3,314.48 : x
  2. Step 2: Convert to fraction form
    6,108.98/8,430.38 = 3,314.48/x
  3. Step 3: Cross multiply
    6,108.98x = 8,430.38 × 3,314.48
  4. Step 4: Simplify right side
    6,108.98x = 27,942,325.90
  5. Step 5: Solve for x
    x = 27,942,325.90/6,108.98
  6. Step 6: Final answer
    x = 4,573.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.