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Finding the Fourth Proportional to 5,804.22, 8,011.80 and 3,566.19

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Solution

The fourth proportional to 5,804.22, 8,011.80 and 3,566.19 is: 4,922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.22 : 8,011.80 = 3,566.19 : x
  2. Step 2: Convert to fraction form
    5,804.22/8,011.80 = 3,566.19/x
  3. Step 3: Cross multiply
    5,804.22x = 8,011.80 × 3,566.19
  4. Step 4: Simplify right side
    5,804.22x = 28,571,601.04
  5. Step 5: Solve for x
    x = 28,571,601.04/5,804.22
  6. Step 6: Final answer
    x = 4,922.56

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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.