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Finding the Fourth Proportional to 4,850.25, 7,278 and 3,756.75

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Solution

The fourth proportional to 4,850.25, 7,278 and 3,756.75 is: 5,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850.25 : 7,278 = 3,756.75 : x
  2. Step 2: Convert to fraction form
    4,850.25/7,278 = 3,756.75/x
  3. Step 3: Cross multiply
    4,850.25x = 7,278 × 3,756.75
  4. Step 4: Simplify right side
    4,850.25x = 27,341,626.50
  5. Step 5: Solve for x
    x = 27,341,626.50/4,850.25
  6. Step 6: Final answer
    x = 5,637.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.