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Finding the Fourth Proportional to 3,094.72, 4,640.83 and 1,147.08

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Solution

The fourth proportional to 3,094.72, 4,640.83 and 1,147.08 is: 1,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.72 : 4,640.83 = 1,147.08 : x
  2. Step 2: Convert to fraction form
    3,094.72/4,640.83 = 1,147.08/x
  3. Step 3: Cross multiply
    3,094.72x = 4,640.83 × 1,147.08
  4. Step 4: Simplify right side
    3,094.72x = 5,323,403.28
  5. Step 5: Solve for x
    x = 5,323,403.28/3,094.72
  6. Step 6: Final answer
    x = 1,720.16

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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.