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Finding the Fourth Proportional to 6,101.46, 8,418.60 and 4,214.70

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Solution

The fourth proportional to 6,101.46, 8,418.60 and 4,214.70 is: 5,815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.46 : 8,418.60 = 4,214.70 : x
  2. Step 2: Convert to fraction form
    6,101.46/8,418.60 = 4,214.70/x
  3. Step 3: Cross multiply
    6,101.46x = 8,418.60 × 4,214.70
  4. Step 4: Simplify right side
    6,101.46x = 35,481,873.42
  5. Step 5: Solve for x
    x = 35,481,873.42/6,101.46
  6. Step 6: Final answer
    x = 5,815.31

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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.