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Finding the Fourth Proportional to 5,009.78, 6,912 and 3,020.22

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Solution

The fourth proportional to 5,009.78, 6,912 and 3,020.22 is: 4,167.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.78 : 6,912 = 3,020.22 : x
  2. Step 2: Convert to fraction form
    5,009.78/6,912 = 3,020.22/x
  3. Step 3: Cross multiply
    5,009.78x = 6,912 × 3,020.22
  4. Step 4: Simplify right side
    5,009.78x = 20,875,760.64
  5. Step 5: Solve for x
    x = 20,875,760.64/5,009.78
  6. Step 6: Final answer
    x = 4,167.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.