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Finding the Fourth Proportional to 5,217.51, 7,861.49 and 4,313.31

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Solution

The fourth proportional to 5,217.51, 7,861.49 and 4,313.31 is: 6,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.51 : 7,861.49 = 4,313.31 : x
  2. Step 2: Convert to fraction form
    5,217.51/7,861.49 = 4,313.31/x
  3. Step 3: Cross multiply
    5,217.51x = 7,861.49 × 4,313.31
  4. Step 4: Simplify right side
    5,217.51x = 33,909,054.22
  5. Step 5: Solve for x
    x = 33,909,054.22/5,217.51
  6. Step 6: Final answer
    x = 6,499.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.