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Finding the Fourth Proportional to 5,066.42, 6,991.95 and 2,828.32

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Solution

The fourth proportional to 5,066.42, 6,991.95 and 2,828.32 is: 3,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.42 : 6,991.95 = 2,828.32 : x
  2. Step 2: Convert to fraction form
    5,066.42/6,991.95 = 2,828.32/x
  3. Step 3: Cross multiply
    5,066.42x = 6,991.95 × 2,828.32
  4. Step 4: Simplify right side
    5,066.42x = 19,775,441.29
  5. Step 5: Solve for x
    x = 19,775,441.29/5,066.42
  6. Step 6: Final answer
    x = 3,903.24

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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.