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Finding the Fourth Proportional to 3,985.92, 5,981.62 and 1,388.86

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Solution

The fourth proportional to 3,985.92, 5,981.62 and 1,388.86 is: 2,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.92 : 5,981.62 = 1,388.86 : x
  2. Step 2: Convert to fraction form
    3,985.92/5,981.62 = 1,388.86/x
  3. Step 3: Cross multiply
    3,985.92x = 5,981.62 × 1,388.86
  4. Step 4: Simplify right side
    3,985.92x = 8,307,632.75
  5. Step 5: Solve for x
    x = 8,307,632.75/3,985.92
  6. Step 6: Final answer
    x = 2,084.24

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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.