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Finding the Fourth Proportional to 3,971.04, 5,956.54 and 1,632.18

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Solution

The fourth proportional to 3,971.04, 5,956.54 and 1,632.18 is: 2,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.04 : 5,956.54 = 1,632.18 : x
  2. Step 2: Convert to fraction form
    3,971.04/5,956.54 = 1,632.18/x
  3. Step 3: Cross multiply
    3,971.04x = 5,956.54 × 1,632.18
  4. Step 4: Simplify right side
    3,971.04x = 9,722,145.46
  5. Step 5: Solve for x
    x = 9,722,145.46/3,971.04
  6. Step 6: Final answer
    x = 2,448.26

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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.