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Finding the Fourth Proportional to 5,335.98, 8,003.04 and 2,413.60

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Solution

The fourth proportional to 5,335.98, 8,003.04 and 2,413.60 is: 3,619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.98 : 8,003.04 = 2,413.60 : x
  2. Step 2: Convert to fraction form
    5,335.98/8,003.04 = 2,413.60/x
  3. Step 3: Cross multiply
    5,335.98x = 8,003.04 × 2,413.60
  4. Step 4: Simplify right side
    5,335.98x = 19,316,137.34
  5. Step 5: Solve for x
    x = 19,316,137.34/5,335.98
  6. Step 6: Final answer
    x = 3,619.98

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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.