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Finding the Fourth Proportional to 3,902.22, 5,852.11 and 1,304.55

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Solution

The fourth proportional to 3,902.22, 5,852.11 and 1,304.55 is: 1,956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.22 : 5,852.11 = 1,304.55 : x
  2. Step 2: Convert to fraction form
    3,902.22/5,852.11 = 1,304.55/x
  3. Step 3: Cross multiply
    3,902.22x = 5,852.11 × 1,304.55
  4. Step 4: Simplify right side
    3,902.22x = 7,634,370.10
  5. Step 5: Solve for x
    x = 7,634,370.10/3,902.22
  6. Step 6: Final answer
    x = 1,956.42

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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.