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Finding the Fourth Proportional to 5,133.67, 7,714.93 and 3,054.05

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Solution

The fourth proportional to 5,133.67, 7,714.93 and 3,054.05 is: 4,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.67 : 7,714.93 = 3,054.05 : x
  2. Step 2: Convert to fraction form
    5,133.67/7,714.93 = 3,054.05/x
  3. Step 3: Cross multiply
    5,133.67x = 7,714.93 × 3,054.05
  4. Step 4: Simplify right side
    5,133.67x = 23,561,781.97
  5. Step 5: Solve for x
    x = 23,561,781.97/5,133.67
  6. Step 6: Final answer
    x = 4,589.66

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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.