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Finding the Fourth Proportional to 4,194.95, 6,292.44 and 2,003.18

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Solution

The fourth proportional to 4,194.95, 6,292.44 and 2,003.18 is: 3,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.95 : 6,292.44 = 2,003.18 : x
  2. Step 2: Convert to fraction form
    4,194.95/6,292.44 = 2,003.18/x
  3. Step 3: Cross multiply
    4,194.95x = 6,292.44 × 2,003.18
  4. Step 4: Simplify right side
    4,194.95x = 12,604,858.50
  5. Step 5: Solve for x
    x = 12,604,858.50/4,194.95
  6. Step 6: Final answer
    x = 3,004.77

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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.