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Finding the Fourth Proportional to 5,874.78, 8,107.45 and 3,516.47

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Solution

The fourth proportional to 5,874.78, 8,107.45 and 3,516.47 is: 4,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.78 : 8,107.45 = 3,516.47 : x
  2. Step 2: Convert to fraction form
    5,874.78/8,107.45 = 3,516.47/x
  3. Step 3: Cross multiply
    5,874.78x = 8,107.45 × 3,516.47
  4. Step 4: Simplify right side
    5,874.78x = 28,509,555.37
  5. Step 5: Solve for x
    x = 28,509,555.37/5,874.78
  6. Step 6: Final answer
    x = 4,852.87

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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.