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Finding the Fourth Proportional to 5,864.66, 8,096.73 and 5,208.56

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Solution

The fourth proportional to 5,864.66, 8,096.73 and 5,208.56 is: 7,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.66 : 8,096.73 = 5,208.56 : x
  2. Step 2: Convert to fraction form
    5,864.66/8,096.73 = 5,208.56/x
  3. Step 3: Cross multiply
    5,864.66x = 8,096.73 × 5,208.56
  4. Step 4: Simplify right side
    5,864.66x = 42,172,304.01
  5. Step 5: Solve for x
    x = 42,172,304.01/5,864.66
  6. Step 6: Final answer
    x = 7,190.92

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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.