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Finding the Fourth Proportional to 3,970.96, 5,959.68 and 1,664.08

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Solution

The fourth proportional to 3,970.96, 5,959.68 and 1,664.08 is: 2,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.96 : 5,959.68 = 1,664.08 : x
  2. Step 2: Convert to fraction form
    3,970.96/5,959.68 = 1,664.08/x
  3. Step 3: Cross multiply
    3,970.96x = 5,959.68 × 1,664.08
  4. Step 4: Simplify right side
    3,970.96x = 9,917,384.29
  5. Step 5: Solve for x
    x = 9,917,384.29/3,970.96
  6. Step 6: Final answer
    x = 2,497.48

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Why These Related Problems?

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