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Finding the Fourth Proportional to 3,664.16, 5,497.04 and 1,066.88

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Solution

The fourth proportional to 3,664.16, 5,497.04 and 1,066.88 is: 1,600.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.16 : 5,497.04 = 1,066.88 : x
  2. Step 2: Convert to fraction form
    3,664.16/5,497.04 = 1,066.88/x
  3. Step 3: Cross multiply
    3,664.16x = 5,497.04 × 1,066.88
  4. Step 4: Simplify right side
    3,664.16x = 5,864,682.04
  5. Step 5: Solve for x
    x = 5,864,682.04/3,664.16
  6. Step 6: Final answer
    x = 1,600.55

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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.