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Finding the Fourth Proportional to 5,522.93, 7,611.80 and 3,838.94

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Solution

The fourth proportional to 5,522.93, 7,611.80 and 3,838.94 is: 5,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.93 : 7,611.80 = 3,838.94 : x
  2. Step 2: Convert to fraction form
    5,522.93/7,611.80 = 3,838.94/x
  3. Step 3: Cross multiply
    5,522.93x = 7,611.80 × 3,838.94
  4. Step 4: Simplify right side
    5,522.93x = 29,221,186.24
  5. Step 5: Solve for x
    x = 29,221,186.24/5,522.93
  6. Step 6: Final answer
    x = 5,290.89

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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.