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Finding the Fourth Proportional to 5,866.74, 8,096.32 and 3,349.26

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Solution

The fourth proportional to 5,866.74, 8,096.32 and 3,349.26 is: 4,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.74 : 8,096.32 = 3,349.26 : x
  2. Step 2: Convert to fraction form
    5,866.74/8,096.32 = 3,349.26/x
  3. Step 3: Cross multiply
    5,866.74x = 8,096.32 × 3,349.26
  4. Step 4: Simplify right side
    5,866.74x = 27,116,631.87
  5. Step 5: Solve for x
    x = 27,116,631.87/5,866.74
  6. Step 6: Final answer
    x = 4,622.10

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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.