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Finding the Fourth Proportional to 5,874.98, 8,107.71 and 3,516.66

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Solution

The fourth proportional to 5,874.98, 8,107.71 and 3,516.66 is: 4,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.98 : 8,107.71 = 3,516.66 : x
  2. Step 2: Convert to fraction form
    5,874.98/8,107.71 = 3,516.66/x
  3. Step 3: Cross multiply
    5,874.98x = 8,107.71 × 3,516.66
  4. Step 4: Simplify right side
    5,874.98x = 28,512,059.45
  5. Step 5: Solve for x
    x = 28,512,059.45/5,874.98
  6. Step 6: Final answer
    x = 4,853.14

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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.