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Finding the Fourth Proportional to 4,109.63, 5,671.05 and 2,341.22

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Solution

The fourth proportional to 4,109.63, 5,671.05 and 2,341.22 is: 3,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.63 : 5,671.05 = 2,341.22 : x
  2. Step 2: Convert to fraction form
    4,109.63/5,671.05 = 2,341.22/x
  3. Step 3: Cross multiply
    4,109.63x = 5,671.05 × 2,341.22
  4. Step 4: Simplify right side
    4,109.63x = 13,277,175.68
  5. Step 5: Solve for x
    x = 13,277,175.68/4,109.63
  6. Step 6: Final answer
    x = 3,230.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.