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Finding the Fourth Proportional to 5,066.37, 6,991.70 and 2,828.16

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Solution

The fourth proportional to 5,066.37, 6,991.70 and 2,828.16 is: 3,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.37 : 6,991.70 = 2,828.16 : x
  2. Step 2: Convert to fraction form
    5,066.37/6,991.70 = 2,828.16/x
  3. Step 3: Cross multiply
    5,066.37x = 6,991.70 × 2,828.16
  4. Step 4: Simplify right side
    5,066.37x = 19,773,632.13
  5. Step 5: Solve for x
    x = 19,773,632.13/5,066.37
  6. Step 6: Final answer
    x = 3,902.92

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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.