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Finding the Fourth Proportional to 5,874.48, 8,107.02 and 3,516.16

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Solution

The fourth proportional to 5,874.48, 8,107.02 and 3,516.16 is: 4,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.48 : 8,107.02 = 3,516.16 : x
  2. Step 2: Convert to fraction form
    5,874.48/8,107.02 = 3,516.16/x
  3. Step 3: Cross multiply
    5,874.48x = 8,107.02 × 3,516.16
  4. Step 4: Simplify right side
    5,874.48x = 28,505,579.44
  5. Step 5: Solve for x
    x = 28,505,579.44/5,874.48
  6. Step 6: Final answer
    x = 4,852.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.