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Finding the Fourth Proportional to 5,735.08, 7,914.18 and 3,377.32

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Solution

The fourth proportional to 5,735.08, 7,914.18 and 3,377.32 is: 4,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.08 : 7,914.18 = 3,377.32 : x
  2. Step 2: Convert to fraction form
    5,735.08/7,914.18 = 3,377.32/x
  3. Step 3: Cross multiply
    5,735.08x = 7,914.18 × 3,377.32
  4. Step 4: Simplify right side
    5,735.08x = 26,728,718.40
  5. Step 5: Solve for x
    x = 26,728,718.40/5,735.08
  6. Step 6: Final answer
    x = 4,660.57

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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.