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Finding the Fourth Proportional to 5,061.48, 6,982.03 and 2,965.20

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Solution

The fourth proportional to 5,061.48, 6,982.03 and 2,965.20 is: 4,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,061.48 : 6,982.03 = 2,965.20 : x
  2. Step 2: Convert to fraction form
    5,061.48/6,982.03 = 2,965.20/x
  3. Step 3: Cross multiply
    5,061.48x = 6,982.03 × 2,965.20
  4. Step 4: Simplify right side
    5,061.48x = 20,703,115.36
  5. Step 5: Solve for x
    x = 20,703,115.36/5,061.48
  6. Step 6: Final answer
    x = 4,090.33

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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.