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Finding the Fourth Proportional to 5,212.98, 7,824.33 and 2,749.68

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Solution

The fourth proportional to 5,212.98, 7,824.33 and 2,749.68 is: 4,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.98 : 7,824.33 = 2,749.68 : x
  2. Step 2: Convert to fraction form
    5,212.98/7,824.33 = 2,749.68/x
  3. Step 3: Cross multiply
    5,212.98x = 7,824.33 × 2,749.68
  4. Step 4: Simplify right side
    5,212.98x = 21,514,403.71
  5. Step 5: Solve for x
    x = 21,514,403.71/5,212.98
  6. Step 6: Final answer
    x = 4,127.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.