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Finding the Fourth Proportional to 3,783.64, 5,668.08 and 2,135.20

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Solution

The fourth proportional to 3,783.64, 5,668.08 and 2,135.20 is: 3,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.64 : 5,668.08 = 2,135.20 : x
  2. Step 2: Convert to fraction form
    3,783.64/5,668.08 = 2,135.20/x
  3. Step 3: Cross multiply
    3,783.64x = 5,668.08 × 2,135.20
  4. Step 4: Simplify right side
    3,783.64x = 12,102,484.42
  5. Step 5: Solve for x
    x = 12,102,484.42/3,783.64
  6. Step 6: Final answer
    x = 3,198.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.