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Finding the Fourth Proportional to 5,323.12, 7,980.04 and 2,201.18

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Solution

The fourth proportional to 5,323.12, 7,980.04 and 2,201.18 is: 3,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.12 : 7,980.04 = 2,201.18 : x
  2. Step 2: Convert to fraction form
    5,323.12/7,980.04 = 2,201.18/x
  3. Step 3: Cross multiply
    5,323.12x = 7,980.04 × 2,201.18
  4. Step 4: Simplify right side
    5,323.12x = 17,565,454.92
  5. Step 5: Solve for x
    x = 17,565,454.92/5,323.12
  6. Step 6: Final answer
    x = 3,299.84

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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.