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Finding the Fourth Proportional to 6,104.96, 8,423.43 and 4,218.20

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Solution

The fourth proportional to 6,104.96, 8,423.43 and 4,218.20 is: 5,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.96 : 8,423.43 = 4,218.20 : x
  2. Step 2: Convert to fraction form
    6,104.96/8,423.43 = 4,218.20/x
  3. Step 3: Cross multiply
    6,104.96x = 8,423.43 × 4,218.20
  4. Step 4: Simplify right side
    6,104.96x = 35,531,712.43
  5. Step 5: Solve for x
    x = 35,531,712.43/6,104.96
  6. Step 6: Final answer
    x = 5,820.14

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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.