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Finding the Fourth Proportional to 4,096.71, 6,131.23 and 2,445.19

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Solution

The fourth proportional to 4,096.71, 6,131.23 and 2,445.19 is: 3,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.71 : 6,131.23 = 2,445.19 : x
  2. Step 2: Convert to fraction form
    4,096.71/6,131.23 = 2,445.19/x
  3. Step 3: Cross multiply
    4,096.71x = 6,131.23 × 2,445.19
  4. Step 4: Simplify right side
    4,096.71x = 14,992,011.16
  5. Step 5: Solve for x
    x = 14,992,011.16/4,096.71
  6. Step 6: Final answer
    x = 3,659.52

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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.