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Finding the Fourth Proportional to 5,874.26, 8,106.64 and 3,356.78

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Solution

The fourth proportional to 5,874.26, 8,106.64 and 3,356.78 is: 4,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.26 : 8,106.64 = 3,356.78 : x
  2. Step 2: Convert to fraction form
    5,874.26/8,106.64 = 3,356.78/x
  3. Step 3: Cross multiply
    5,874.26x = 8,106.64 × 3,356.78
  4. Step 4: Simplify right side
    5,874.26x = 27,212,250.10
  5. Step 5: Solve for x
    x = 27,212,250.10/5,874.26
  6. Step 6: Final answer
    x = 4,632.45

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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.