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Finding the Fourth Proportional to 4,216.19, 5,817.62 and 2,537.19

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Solution

The fourth proportional to 4,216.19, 5,817.62 and 2,537.19 is: 3,500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.19 : 5,817.62 = 2,537.19 : x
  2. Step 2: Convert to fraction form
    4,216.19/5,817.62 = 2,537.19/x
  3. Step 3: Cross multiply
    4,216.19x = 5,817.62 × 2,537.19
  4. Step 4: Simplify right side
    4,216.19x = 14,760,413.63
  5. Step 5: Solve for x
    x = 14,760,413.63/4,216.19
  6. Step 6: Final answer
    x = 3,500.89

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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.