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Finding the Fourth Proportional to 3,887.63, 5,832.02 and 1,254.25

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Solution

The fourth proportional to 3,887.63, 5,832.02 and 1,254.25 is: 1,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.63 : 5,832.02 = 1,254.25 : x
  2. Step 2: Convert to fraction form
    3,887.63/5,832.02 = 1,254.25/x
  3. Step 3: Cross multiply
    3,887.63x = 5,832.02 × 1,254.25
  4. Step 4: Simplify right side
    3,887.63x = 7,314,799.64
  5. Step 5: Solve for x
    x = 7,314,799.64/3,887.63
  6. Step 6: Final answer
    x = 1,881.56

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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.