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Finding the Fourth Proportional to 5,383.62, 8,074.62 and 1,874.16

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Solution

The fourth proportional to 5,383.62, 8,074.62 and 1,874.16 is: 2,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.62 : 8,074.62 = 1,874.16 : x
  2. Step 2: Convert to fraction form
    5,383.62/8,074.62 = 1,874.16/x
  3. Step 3: Cross multiply
    5,383.62x = 8,074.62 × 1,874.16
  4. Step 4: Simplify right side
    5,383.62x = 15,133,129.82
  5. Step 5: Solve for x
    x = 15,133,129.82/5,383.62
  6. Step 6: Final answer
    x = 2,810.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.