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Finding the Fourth Proportional to 4,971.39, 7,441.83 and 3,116.04

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Solution

The fourth proportional to 4,971.39, 7,441.83 and 3,116.04 is: 4,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.39 : 7,441.83 = 3,116.04 : x
  2. Step 2: Convert to fraction form
    4,971.39/7,441.83 = 3,116.04/x
  3. Step 3: Cross multiply
    4,971.39x = 7,441.83 × 3,116.04
  4. Step 4: Simplify right side
    4,971.39x = 23,189,039.95
  5. Step 5: Solve for x
    x = 23,189,039.95/4,971.39
  6. Step 6: Final answer
    x = 4,664.50

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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.