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Finding the Fourth Proportional to 6,108.85, 8,430.53 and 3,419.90

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Solution

The fourth proportional to 6,108.85, 8,430.53 and 3,419.90 is: 4,719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.85 : 8,430.53 = 3,419.90 : x
  2. Step 2: Convert to fraction form
    6,108.85/8,430.53 = 3,419.90/x
  3. Step 3: Cross multiply
    6,108.85x = 8,430.53 × 3,419.90
  4. Step 4: Simplify right side
    6,108.85x = 28,831,608.57
  5. Step 5: Solve for x
    x = 28,831,608.57/6,108.85
  6. Step 6: Final answer
    x = 4,719.64

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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.