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Finding the Fourth Proportional to 5,054.23, 7,581.09 and 1,934

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Solution

The fourth proportional to 5,054.23, 7,581.09 and 1,934 is: 2,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.23 : 7,581.09 = 1,934 : x
  2. Step 2: Convert to fraction form
    5,054.23/7,581.09 = 1,934/x
  3. Step 3: Cross multiply
    5,054.23x = 7,581.09 × 1,934
  4. Step 4: Simplify right side
    5,054.23x = 14,661,830.48
  5. Step 5: Solve for x
    x = 14,661,830.48/5,054.23
  6. Step 6: Final answer
    x = 2,900.90

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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.