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Finding the Fourth Proportional to 3,388.88, 5,083.26 and 923.66

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Solution

The fourth proportional to 3,388.88, 5,083.26 and 923.66 is: 1,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.88 : 5,083.26 = 923.66 : x
  2. Step 2: Convert to fraction form
    3,388.88/5,083.26 = 923.66/x
  3. Step 3: Cross multiply
    3,388.88x = 5,083.26 × 923.66
  4. Step 4: Simplify right side
    3,388.88x = 4,695,203.93
  5. Step 5: Solve for x
    x = 4,695,203.93/3,388.88
  6. Step 6: Final answer
    x = 1,385.47

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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.