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Finding the Fourth Proportional to 3,235.50, 4,852.29 and 2,194.86

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Solution

The fourth proportional to 3,235.50, 4,852.29 and 2,194.86 is: 3,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.50 : 4,852.29 = 2,194.86 : x
  2. Step 2: Convert to fraction form
    3,235.50/4,852.29 = 2,194.86/x
  3. Step 3: Cross multiply
    3,235.50x = 4,852.29 × 2,194.86
  4. Step 4: Simplify right side
    3,235.50x = 10,650,097.23
  5. Step 5: Solve for x
    x = 10,650,097.23/3,235.50
  6. Step 6: Final answer
    x = 3,291.64

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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.