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Finding the Fourth Proportional to 5,694.12, 8,546.06 and 4,054.68

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Solution

The fourth proportional to 5,694.12, 8,546.06 and 4,054.68 is: 6,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.12 : 8,546.06 = 4,054.68 : x
  2. Step 2: Convert to fraction form
    5,694.12/8,546.06 = 4,054.68/x
  3. Step 3: Cross multiply
    5,694.12x = 8,546.06 × 4,054.68
  4. Step 4: Simplify right side
    5,694.12x = 34,651,538.56
  5. Step 5: Solve for x
    x = 34,651,538.56/5,694.12
  6. Step 6: Final answer
    x = 6,085.49

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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.