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Finding the Fourth Proportional to 5,066.45, 6,990.81 and 2,828.15

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Solution

The fourth proportional to 5,066.45, 6,990.81 and 2,828.15 is: 3,902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.45 : 6,990.81 = 2,828.15 : x
  2. Step 2: Convert to fraction form
    5,066.45/6,990.81 = 2,828.15/x
  3. Step 3: Cross multiply
    5,066.45x = 6,990.81 × 2,828.15
  4. Step 4: Simplify right side
    5,066.45x = 19,771,059.30
  5. Step 5: Solve for x
    x = 19,771,059.30/5,066.45
  6. Step 6: Final answer
    x = 3,902.35

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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.