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Finding the Fourth Proportional to 3,494.36, 4,821.48 and 2,234.93

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Solution

The fourth proportional to 3,494.36, 4,821.48 and 2,234.93 is: 3,083.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.36 : 4,821.48 = 2,234.93 : x
  2. Step 2: Convert to fraction form
    3,494.36/4,821.48 = 2,234.93/x
  3. Step 3: Cross multiply
    3,494.36x = 4,821.48 × 2,234.93
  4. Step 4: Simplify right side
    3,494.36x = 10,775,646.19
  5. Step 5: Solve for x
    x = 10,775,646.19/3,494.36
  6. Step 6: Final answer
    x = 3,083.72

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