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Finding the Fourth Proportional to 5,413.86, 7,457.10 and 5,050.98

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Solution

The fourth proportional to 5,413.86, 7,457.10 and 5,050.98 is: 6,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.86 : 7,457.10 = 5,050.98 : x
  2. Step 2: Convert to fraction form
    5,413.86/7,457.10 = 5,050.98/x
  3. Step 3: Cross multiply
    5,413.86x = 7,457.10 × 5,050.98
  4. Step 4: Simplify right side
    5,413.86x = 37,665,662.96
  5. Step 5: Solve for x
    x = 37,665,662.96/5,413.86
  6. Step 6: Final answer
    x = 6,957.27

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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.