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Finding the Fourth Proportional to 5,254.54, 7,881.64 and 2,134.49

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Solution

The fourth proportional to 5,254.54, 7,881.64 and 2,134.49 is: 3,201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.54 : 7,881.64 = 2,134.49 : x
  2. Step 2: Convert to fraction form
    5,254.54/7,881.64 = 2,134.49/x
  3. Step 3: Cross multiply
    5,254.54x = 7,881.64 × 2,134.49
  4. Step 4: Simplify right side
    5,254.54x = 16,823,237.02
  5. Step 5: Solve for x
    x = 16,823,237.02/5,254.54
  6. Step 6: Final answer
    x = 3,201.66

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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.