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Finding the Fourth Proportional to 3,776.64, 5,665.44 and 1,466.88

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Solution

The fourth proportional to 3,776.64, 5,665.44 and 1,466.88 is: 2,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.64 : 5,665.44 = 1,466.88 : x
  2. Step 2: Convert to fraction form
    3,776.64/5,665.44 = 1,466.88/x
  3. Step 3: Cross multiply
    3,776.64x = 5,665.44 × 1,466.88
  4. Step 4: Simplify right side
    3,776.64x = 8,310,520.63
  5. Step 5: Solve for x
    x = 8,310,520.63/3,776.64
  6. Step 6: Final answer
    x = 2,200.51

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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.