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Finding the Fourth Proportional to 4,971.93, 6,861.12 and 2,847.39

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Solution

The fourth proportional to 4,971.93, 6,861.12 and 2,847.39 is: 3,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.93 : 6,861.12 = 2,847.39 : x
  2. Step 2: Convert to fraction form
    4,971.93/6,861.12 = 2,847.39/x
  3. Step 3: Cross multiply
    4,971.93x = 6,861.12 × 2,847.39
  4. Step 4: Simplify right side
    4,971.93x = 19,536,284.48
  5. Step 5: Solve for x
    x = 19,536,284.48/4,971.93
  6. Step 6: Final answer
    x = 3,929.32

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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.