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Finding the Fourth Proportional to 5,699.87, 8,547.74 and 2,413.19

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Solution

The fourth proportional to 5,699.87, 8,547.74 and 2,413.19 is: 3,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.87 : 8,547.74 = 2,413.19 : x
  2. Step 2: Convert to fraction form
    5,699.87/8,547.74 = 2,413.19/x
  3. Step 3: Cross multiply
    5,699.87x = 8,547.74 × 2,413.19
  4. Step 4: Simplify right side
    5,699.87x = 20,627,277.95
  5. Step 5: Solve for x
    x = 20,627,277.95/5,699.87
  6. Step 6: Final answer
    x = 3,618.91

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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.