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Finding the Fourth Proportional to 5,335.84, 8,006.40 and 2,413.84

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Solution

The fourth proportional to 5,335.84, 8,006.40 and 2,413.84 is: 3,621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.84 : 8,006.40 = 2,413.84 : x
  2. Step 2: Convert to fraction form
    5,335.84/8,006.40 = 2,413.84/x
  3. Step 3: Cross multiply
    5,335.84x = 8,006.40 × 2,413.84
  4. Step 4: Simplify right side
    5,335.84x = 19,326,168.58
  5. Step 5: Solve for x
    x = 19,326,168.58/5,335.84
  6. Step 6: Final answer
    x = 3,621.95

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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.