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Finding the Fourth Proportional to 5,413.01, 8,121 and 1,715.77

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Solution

The fourth proportional to 5,413.01, 8,121 and 1,715.77 is: 2,574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.01 : 8,121 = 1,715.77 : x
  2. Step 2: Convert to fraction form
    5,413.01/8,121 = 1,715.77/x
  3. Step 3: Cross multiply
    5,413.01x = 8,121 × 1,715.77
  4. Step 4: Simplify right side
    5,413.01x = 13,933,727.57
  5. Step 5: Solve for x
    x = 13,933,727.57/5,413.01
  6. Step 6: Final answer
    x = 2,574.12

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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.