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Finding the Fourth Proportional to 5,980.83, 8,971.61 and 1,821.14

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Solution

The fourth proportional to 5,980.83, 8,971.61 and 1,821.14 is: 2,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.83 : 8,971.61 = 1,821.14 : x
  2. Step 2: Convert to fraction form
    5,980.83/8,971.61 = 1,821.14/x
  3. Step 3: Cross multiply
    5,980.83x = 8,971.61 × 1,821.14
  4. Step 4: Simplify right side
    5,980.83x = 16,338,503.87
  5. Step 5: Solve for x
    x = 16,338,503.87/5,980.83
  6. Step 6: Final answer
    x = 2,731.81

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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.