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Finding the Fourth Proportional to 5,836, 8,054 and 3,352.16

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Solution

The fourth proportional to 5,836, 8,054 and 3,352.16 is: 4,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836 : 8,054 = 3,352.16 : x
  2. Step 2: Convert to fraction form
    5,836/8,054 = 3,352.16/x
  3. Step 3: Cross multiply
    5,836x = 8,054 × 3,352.16
  4. Step 4: Simplify right side
    5,836x = 26,998,296.64
  5. Step 5: Solve for x
    x = 26,998,296.64/5,836
  6. Step 6: Final answer
    x = 4,626.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.