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Finding the Fourth Proportional to 6,109.06, 8,430.92 and 3,420.54

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Solution

The fourth proportional to 6,109.06, 8,430.92 and 3,420.54 is: 4,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.06 : 8,430.92 = 3,420.54 : x
  2. Step 2: Convert to fraction form
    6,109.06/8,430.92 = 3,420.54/x
  3. Step 3: Cross multiply
    6,109.06x = 8,430.92 × 3,420.54
  4. Step 4: Simplify right side
    6,109.06x = 28,838,299.10
  5. Step 5: Solve for x
    x = 28,838,299.10/6,109.06
  6. Step 6: Final answer
    x = 4,720.58

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