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Finding the Fourth Proportional to 3,607.56, 5,413.58 and 2,309.96

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Solution

The fourth proportional to 3,607.56, 5,413.58 and 2,309.96 is: 3,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.56 : 5,413.58 = 2,309.96 : x
  2. Step 2: Convert to fraction form
    3,607.56/5,413.58 = 2,309.96/x
  3. Step 3: Cross multiply
    3,607.56x = 5,413.58 × 2,309.96
  4. Step 4: Simplify right side
    3,607.56x = 12,505,153.26
  5. Step 5: Solve for x
    x = 12,505,153.26/3,607.56
  6. Step 6: Final answer
    x = 3,466.37

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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.