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Finding the Fourth Proportional to 3,094.86, 4,643.85 and 1,147.26

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Solution

The fourth proportional to 3,094.86, 4,643.85 and 1,147.26 is: 1,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.86 : 4,643.85 = 1,147.26 : x
  2. Step 2: Convert to fraction form
    3,094.86/4,643.85 = 1,147.26/x
  3. Step 3: Cross multiply
    3,094.86x = 4,643.85 × 1,147.26
  4. Step 4: Simplify right side
    3,094.86x = 5,327,703.35
  5. Step 5: Solve for x
    x = 5,327,703.35/3,094.86
  6. Step 6: Final answer
    x = 1,721.47

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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.