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Finding the Fourth Proportional to 5,190.77, 7,164.17 and 3,066.15

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Solution

The fourth proportional to 5,190.77, 7,164.17 and 3,066.15 is: 4,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.77 : 7,164.17 = 3,066.15 : x
  2. Step 2: Convert to fraction form
    5,190.77/7,164.17 = 3,066.15/x
  3. Step 3: Cross multiply
    5,190.77x = 7,164.17 × 3,066.15
  4. Step 4: Simplify right side
    5,190.77x = 21,966,404.51
  5. Step 5: Solve for x
    x = 21,966,404.51/5,190.77
  6. Step 6: Final answer
    x = 4,231.82

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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.