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Finding the Fourth Proportional to 3,783.42, 5,221.08 and 2,211.21

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Solution

The fourth proportional to 3,783.42, 5,221.08 and 2,211.21 is: 3,051.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.42 : 5,221.08 = 2,211.21 : x
  2. Step 2: Convert to fraction form
    3,783.42/5,221.08 = 2,211.21/x
  3. Step 3: Cross multiply
    3,783.42x = 5,221.08 × 2,211.21
  4. Step 4: Simplify right side
    3,783.42x = 11,544,904.31
  5. Step 5: Solve for x
    x = 11,544,904.31/3,783.42
  6. Step 6: Final answer
    x = 3,051.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.