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Finding the Fourth Proportional to 5,609.18, 8,413.80 and 2,686.82

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Solution

The fourth proportional to 5,609.18, 8,413.80 and 2,686.82 is: 4,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.18 : 8,413.80 = 2,686.82 : x
  2. Step 2: Convert to fraction form
    5,609.18/8,413.80 = 2,686.82/x
  3. Step 3: Cross multiply
    5,609.18x = 8,413.80 × 2,686.82
  4. Step 4: Simplify right side
    5,609.18x = 22,606,366.12
  5. Step 5: Solve for x
    x = 22,606,366.12/5,609.18
  6. Step 6: Final answer
    x = 4,030.24

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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.