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Finding the Fourth Proportional to 3,971.84, 5,959.04 and 1,662.72

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Solution

The fourth proportional to 3,971.84, 5,959.04 and 1,662.72 is: 2,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.84 : 5,959.04 = 1,662.72 : x
  2. Step 2: Convert to fraction form
    3,971.84/5,959.04 = 1,662.72/x
  3. Step 3: Cross multiply
    3,971.84x = 5,959.04 × 1,662.72
  4. Step 4: Simplify right side
    3,971.84x = 9,908,214.99
  5. Step 5: Solve for x
    x = 9,908,214.99/3,971.84
  6. Step 6: Final answer
    x = 2,494.62

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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.