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Finding the Fourth Proportional to 4,945.90, 7,412.48 and 3,092.42

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Solution

The fourth proportional to 4,945.90, 7,412.48 and 3,092.42 is: 4,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.90 : 7,412.48 = 3,092.42 : x
  2. Step 2: Convert to fraction form
    4,945.90/7,412.48 = 3,092.42/x
  3. Step 3: Cross multiply
    4,945.90x = 7,412.48 × 3,092.42
  4. Step 4: Simplify right side
    4,945.90x = 22,922,501.40
  5. Step 5: Solve for x
    x = 22,922,501.40/4,945.90
  6. Step 6: Final answer
    x = 4,634.65

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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.