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Finding the Fourth Proportional to 6,108, 8,430.30 and 3,455.52

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Solution

The fourth proportional to 6,108, 8,430.30 and 3,455.52 is: 4,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108 : 8,430.30 = 3,455.52 : x
  2. Step 2: Convert to fraction form
    6,108/8,430.30 = 3,455.52/x
  3. Step 3: Cross multiply
    6,108x = 8,430.30 × 3,455.52
  4. Step 4: Simplify right side
    6,108x = 29,131,070.26
  5. Step 5: Solve for x
    x = 29,131,070.26/6,108
  6. Step 6: Final answer
    x = 4,769.33

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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.