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Finding the Fourth Proportional to 4,145.84, 6,218.80 and 2,413.36

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Solution

The fourth proportional to 4,145.84, 6,218.80 and 2,413.36 is: 3,620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.84 : 6,218.80 = 2,413.36 : x
  2. Step 2: Convert to fraction form
    4,145.84/6,218.80 = 2,413.36/x
  3. Step 3: Cross multiply
    4,145.84x = 6,218.80 × 2,413.36
  4. Step 4: Simplify right side
    4,145.84x = 15,008,203.17
  5. Step 5: Solve for x
    x = 15,008,203.17/4,145.84
  6. Step 6: Final answer
    x = 3,620.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.