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Finding the Fourth Proportional to 5,261.75, 7,894.17 and 1,975.10

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Solution

The fourth proportional to 5,261.75, 7,894.17 and 1,975.10 is: 2,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.75 : 7,894.17 = 1,975.10 : x
  2. Step 2: Convert to fraction form
    5,261.75/7,894.17 = 1,975.10/x
  3. Step 3: Cross multiply
    5,261.75x = 7,894.17 × 1,975.10
  4. Step 4: Simplify right side
    5,261.75x = 15,591,775.17
  5. Step 5: Solve for x
    x = 15,591,775.17/5,261.75
  6. Step 6: Final answer
    x = 2,963.23

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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.