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Finding the Fourth Proportional to 5,611.70, 7,744.04 and 3,254.06

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Solution

The fourth proportional to 5,611.70, 7,744.04 and 3,254.06 is: 4,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.70 : 7,744.04 = 3,254.06 : x
  2. Step 2: Convert to fraction form
    5,611.70/7,744.04 = 3,254.06/x
  3. Step 3: Cross multiply
    5,611.70x = 7,744.04 × 3,254.06
  4. Step 4: Simplify right side
    5,611.70x = 25,199,570.80
  5. Step 5: Solve for x
    x = 25,199,570.80/5,611.70
  6. Step 6: Final answer
    x = 4,490.54

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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.