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Finding the Fourth Proportional to 5,651.61, 7,799.43 and 3,413.05

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Solution

The fourth proportional to 5,651.61, 7,799.43 and 3,413.05 is: 4,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.61 : 7,799.43 = 3,413.05 : x
  2. Step 2: Convert to fraction form
    5,651.61/7,799.43 = 3,413.05/x
  3. Step 3: Cross multiply
    5,651.61x = 7,799.43 × 3,413.05
  4. Step 4: Simplify right side
    5,651.61x = 26,619,827.50
  5. Step 5: Solve for x
    x = 26,619,827.50/5,651.61
  6. Step 6: Final answer
    x = 4,710.13

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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.