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Finding the Fourth Proportional to 4,193.24, 6,241.96 and 4,130.96

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Solution

The fourth proportional to 4,193.24, 6,241.96 and 4,130.96 is: 6,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.24 : 6,241.96 = 4,130.96 : x
  2. Step 2: Convert to fraction form
    4,193.24/6,241.96 = 4,130.96/x
  3. Step 3: Cross multiply
    4,193.24x = 6,241.96 × 4,130.96
  4. Step 4: Simplify right side
    4,193.24x = 25,785,287.08
  5. Step 5: Solve for x
    x = 25,785,287.08/4,193.24
  6. Step 6: Final answer
    x = 6,149.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.