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Finding the Fourth Proportional to 3,739.32, 5,157.63 and 2,413.53

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Solution

The fourth proportional to 3,739.32, 5,157.63 and 2,413.53 is: 3,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.32 : 5,157.63 = 2,413.53 : x
  2. Step 2: Convert to fraction form
    3,739.32/5,157.63 = 2,413.53/x
  3. Step 3: Cross multiply
    3,739.32x = 5,157.63 × 2,413.53
  4. Step 4: Simplify right side
    3,739.32x = 12,448,094.73
  5. Step 5: Solve for x
    x = 12,448,094.73/3,739.32
  6. Step 6: Final answer
    x = 3,328.97

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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.