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Finding the Fourth Proportional to 4,234.03, 5,842.18 and 2,441.19

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Solution

The fourth proportional to 4,234.03, 5,842.18 and 2,441.19 is: 3,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.03 : 5,842.18 = 2,441.19 : x
  2. Step 2: Convert to fraction form
    4,234.03/5,842.18 = 2,441.19/x
  3. Step 3: Cross multiply
    4,234.03x = 5,842.18 × 2,441.19
  4. Step 4: Simplify right side
    4,234.03x = 14,261,871.39
  5. Step 5: Solve for x
    x = 14,261,871.39/4,234.03
  6. Step 6: Final answer
    x = 3,368.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.