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Finding the Fourth Proportional to 4,741.99, 7,112.99 and 2,806.50

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Solution

The fourth proportional to 4,741.99, 7,112.99 and 2,806.50 is: 4,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.99 : 7,112.99 = 2,806.50 : x
  2. Step 2: Convert to fraction form
    4,741.99/7,112.99 = 2,806.50/x
  3. Step 3: Cross multiply
    4,741.99x = 7,112.99 × 2,806.50
  4. Step 4: Simplify right side
    4,741.99x = 19,962,592.22
  5. Step 5: Solve for x
    x = 19,962,592.22/4,741.99
  6. Step 6: Final answer
    x = 4,209.75

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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.