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Finding the Fourth Proportional to 3,482.67, 5,224.83 and 1,017.72

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Solution

The fourth proportional to 3,482.67, 5,224.83 and 1,017.72 is: 1,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.67 : 5,224.83 = 1,017.72 : x
  2. Step 2: Convert to fraction form
    3,482.67/5,224.83 = 1,017.72/x
  3. Step 3: Cross multiply
    3,482.67x = 5,224.83 × 1,017.72
  4. Step 4: Simplify right side
    3,482.67x = 5,317,413.99
  5. Step 5: Solve for x
    x = 5,317,413.99/3,482.67
  6. Step 6: Final answer
    x = 1,526.82

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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.