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Finding the Fourth Proportional to 4,194.68, 5,788.19 and 2,516.16

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Solution

The fourth proportional to 4,194.68, 5,788.19 and 2,516.16 is: 3,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.68 : 5,788.19 = 2,516.16 : x
  2. Step 2: Convert to fraction form
    4,194.68/5,788.19 = 2,516.16/x
  3. Step 3: Cross multiply
    4,194.68x = 5,788.19 × 2,516.16
  4. Step 4: Simplify right side
    4,194.68x = 14,564,012.15
  5. Step 5: Solve for x
    x = 14,564,012.15/4,194.68
  6. Step 6: Final answer
    x = 3,472.02

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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.