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Finding the Fourth Proportional to 3,093.54, 4,643.55 and 1,146.30

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Solution

The fourth proportional to 3,093.54, 4,643.55 and 1,146.30 is: 1,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.54 : 4,643.55 = 1,146.30 : x
  2. Step 2: Convert to fraction form
    3,093.54/4,643.55 = 1,146.30/x
  3. Step 3: Cross multiply
    3,093.54x = 4,643.55 × 1,146.30
  4. Step 4: Simplify right side
    3,093.54x = 5,322,901.37
  5. Step 5: Solve for x
    x = 5,322,901.37/3,093.54
  6. Step 6: Final answer
    x = 1,720.65

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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.