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Finding the Fourth Proportional to 3,783.84, 5,220.72 and 2,211.72

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Solution

The fourth proportional to 3,783.84, 5,220.72 and 2,211.72 is: 3,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.84 : 5,220.72 = 2,211.72 : x
  2. Step 2: Convert to fraction form
    3,783.84/5,220.72 = 2,211.72/x
  3. Step 3: Cross multiply
    3,783.84x = 5,220.72 × 2,211.72
  4. Step 4: Simplify right side
    3,783.84x = 11,546,770.84
  5. Step 5: Solve for x
    x = 11,546,770.84/3,783.84
  6. Step 6: Final answer
    x = 3,051.60

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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.