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Finding the Fourth Proportional to 3,985.68, 5,498.64 and 2,413.20

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Solution

The fourth proportional to 3,985.68, 5,498.64 and 2,413.20 is: 3,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.68 : 5,498.64 = 2,413.20 : x
  2. Step 2: Convert to fraction form
    3,985.68/5,498.64 = 2,413.20/x
  3. Step 3: Cross multiply
    3,985.68x = 5,498.64 × 2,413.20
  4. Step 4: Simplify right side
    3,985.68x = 13,269,318.05
  5. Step 5: Solve for x
    x = 13,269,318.05/3,985.68
  6. Step 6: Final answer
    x = 3,329.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.