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Finding the Fourth Proportional to 5,894.75, 8,135.88 and 3,505.25

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Solution

The fourth proportional to 5,894.75, 8,135.88 and 3,505.25 is: 4,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.75 : 8,135.88 = 3,505.25 : x
  2. Step 2: Convert to fraction form
    5,894.75/8,135.88 = 3,505.25/x
  3. Step 3: Cross multiply
    5,894.75x = 8,135.88 × 3,505.25
  4. Step 4: Simplify right side
    5,894.75x = 28,518,293.37
  5. Step 5: Solve for x
    x = 28,518,293.37/5,894.75
  6. Step 6: Final answer
    x = 4,837.91

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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.