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Finding the Fourth Proportional to 5,574.78, 8,362.56 and 2,112

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Solution

The fourth proportional to 5,574.78, 8,362.56 and 2,112 is: 3,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.78 : 8,362.56 = 2,112 : x
  2. Step 2: Convert to fraction form
    5,574.78/8,362.56 = 2,112/x
  3. Step 3: Cross multiply
    5,574.78x = 8,362.56 × 2,112
  4. Step 4: Simplify right side
    5,574.78x = 17,661,726.72
  5. Step 5: Solve for x
    x = 17,661,726.72/5,574.78
  6. Step 6: Final answer
    x = 3,168.15

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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.