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Finding the Fourth Proportional to 5,625.27, 7,762.71 and 3,107.33

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Solution

The fourth proportional to 5,625.27, 7,762.71 and 3,107.33 is: 4,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.27 : 7,762.71 = 3,107.33 : x
  2. Step 2: Convert to fraction form
    5,625.27/7,762.71 = 3,107.33/x
  3. Step 3: Cross multiply
    5,625.27x = 7,762.71 × 3,107.33
  4. Step 4: Simplify right side
    5,625.27x = 24,121,301.66
  5. Step 5: Solve for x
    x = 24,121,301.66/5,625.27
  6. Step 6: Final answer
    x = 4,288.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.