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Finding the Fourth Proportional to 4,952.75, 7,430.36 and 3,494.75

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Solution

The fourth proportional to 4,952.75, 7,430.36 and 3,494.75 is: 5,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.75 : 7,430.36 = 3,494.75 : x
  2. Step 2: Convert to fraction form
    4,952.75/7,430.36 = 3,494.75/x
  3. Step 3: Cross multiply
    4,952.75x = 7,430.36 × 3,494.75
  4. Step 4: Simplify right side
    4,952.75x = 25,967,195.98
  5. Step 5: Solve for x
    x = 25,967,195.98/4,952.75
  6. Step 6: Final answer
    x = 5,242.99

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1.5x scale

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.