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Finding the Fourth Proportional to 3,971.04, 5,959.60 and 1,664.16

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Solution

The fourth proportional to 3,971.04, 5,959.60 and 1,664.16 is: 2,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.04 : 5,959.60 = 1,664.16 : x
  2. Step 2: Convert to fraction form
    3,971.04/5,959.60 = 1,664.16/x
  3. Step 3: Cross multiply
    3,971.04x = 5,959.60 × 1,664.16
  4. Step 4: Simplify right side
    3,971.04x = 9,917,727.94
  5. Step 5: Solve for x
    x = 9,917,727.94/3,971.04
  6. Step 6: Final answer
    x = 2,497.51

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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.