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Finding the Fourth Proportional to 5,201.71, 7,821.29 and 4,795.81

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Solution

The fourth proportional to 5,201.71, 7,821.29 and 4,795.81 is: 7,210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.71 : 7,821.29 = 4,795.81 : x
  2. Step 2: Convert to fraction form
    5,201.71/7,821.29 = 4,795.81/x
  3. Step 3: Cross multiply
    5,201.71x = 7,821.29 × 4,795.81
  4. Step 4: Simplify right side
    5,201.71x = 37,509,413.23
  5. Step 5: Solve for x
    x = 37,509,413.23/5,201.71
  6. Step 6: Final answer
    x = 7,210.98

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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.