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Finding the Fourth Proportional to 3,083.69, 4,226.95 and 3,042.16

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Solution

The fourth proportional to 3,083.69, 4,226.95 and 3,042.16 is: 4,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.69 : 4,226.95 = 3,042.16 : x
  2. Step 2: Convert to fraction form
    3,083.69/4,226.95 = 3,042.16/x
  3. Step 3: Cross multiply
    3,083.69x = 4,226.95 × 3,042.16
  4. Step 4: Simplify right side
    3,083.69x = 12,859,051.45
  5. Step 5: Solve for x
    x = 12,859,051.45/3,083.69
  6. Step 6: Final answer
    x = 4,170.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.