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Finding the Fourth Proportional to 5,242.93, 7,857.47 and 2,777.09

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Solution

The fourth proportional to 5,242.93, 7,857.47 and 2,777.09 is: 4,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.93 : 7,857.47 = 2,777.09 : x
  2. Step 2: Convert to fraction form
    5,242.93/7,857.47 = 2,777.09/x
  3. Step 3: Cross multiply
    5,242.93x = 7,857.47 × 2,777.09
  4. Step 4: Simplify right side
    5,242.93x = 21,820,869.02
  5. Step 5: Solve for x
    x = 21,820,869.02/5,242.93
  6. Step 6: Final answer
    x = 4,161.96

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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.