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Finding the Fourth Proportional to 3,887.54, 5,832.50 and 2,329.28

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Solution

The fourth proportional to 3,887.54, 5,832.50 and 2,329.28 is: 3,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.54 : 5,832.50 = 2,329.28 : x
  2. Step 2: Convert to fraction form
    3,887.54/5,832.50 = 2,329.28/x
  3. Step 3: Cross multiply
    3,887.54x = 5,832.50 × 2,329.28
  4. Step 4: Simplify right side
    3,887.54x = 13,585,525.60
  5. Step 5: Solve for x
    x = 13,585,525.60/3,887.54
  6. Step 6: Final answer
    x = 3,494.63

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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.