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Finding the Fourth Proportional to 3,662.16, 5,494.04 and 1,064.88

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Solution

The fourth proportional to 3,662.16, 5,494.04 and 1,064.88 is: 1,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.16 : 5,494.04 = 1,064.88 : x
  2. Step 2: Convert to fraction form
    3,662.16/5,494.04 = 1,064.88/x
  3. Step 3: Cross multiply
    3,662.16x = 5,494.04 × 1,064.88
  4. Step 4: Simplify right side
    3,662.16x = 5,850,493.32
  5. Step 5: Solve for x
    x = 5,850,493.32/3,662.16
  6. Step 6: Final answer
    x = 1,597.55

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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.