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Finding the Fourth Proportional to 3,975.89, 5,964.12 and 1,054.13

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Solution

The fourth proportional to 3,975.89, 5,964.12 and 1,054.13 is: 1,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.89 : 5,964.12 = 1,054.13 : x
  2. Step 2: Convert to fraction form
    3,975.89/5,964.12 = 1,054.13/x
  3. Step 3: Cross multiply
    3,975.89x = 5,964.12 × 1,054.13
  4. Step 4: Simplify right side
    3,975.89x = 6,286,928.00
  5. Step 5: Solve for x
    x = 6,286,928.00/3,975.89
  6. Step 6: Final answer
    x = 1,581.27

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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.