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Finding the Fourth Proportional to 4,076.46, 6,101.19 and 3,506.22

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Solution

The fourth proportional to 4,076.46, 6,101.19 and 3,506.22 is: 5,247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.46 : 6,101.19 = 3,506.22 : x
  2. Step 2: Convert to fraction form
    4,076.46/6,101.19 = 3,506.22/x
  3. Step 3: Cross multiply
    4,076.46x = 6,101.19 × 3,506.22
  4. Step 4: Simplify right side
    4,076.46x = 21,392,114.40
  5. Step 5: Solve for x
    x = 21,392,114.40/4,076.46
  6. Step 6: Final answer
    x = 5,247.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.