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Finding the Fourth Proportional to 4,952.48, 6,822.02 and 3,771.50

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Solution

The fourth proportional to 4,952.48, 6,822.02 and 3,771.50 is: 5,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.48 : 6,822.02 = 3,771.50 : x
  2. Step 2: Convert to fraction form
    4,952.48/6,822.02 = 3,771.50/x
  3. Step 3: Cross multiply
    4,952.48x = 6,822.02 × 3,771.50
  4. Step 4: Simplify right side
    4,952.48x = 25,729,223.75
  5. Step 5: Solve for x
    x = 25,729,223.75/4,952.48
  6. Step 6: Final answer
    x = 5,195.23

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1.5x scale

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.