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Finding the Fourth Proportional to 5,804.68, 8,011.56 and 3,286.76

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Solution

The fourth proportional to 5,804.68, 8,011.56 and 3,286.76 is: 4,536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.68 : 8,011.56 = 3,286.76 : x
  2. Step 2: Convert to fraction form
    5,804.68/8,011.56 = 3,286.76/x
  3. Step 3: Cross multiply
    5,804.68x = 8,011.56 × 3,286.76
  4. Step 4: Simplify right side
    5,804.68x = 26,332,074.95
  5. Step 5: Solve for x
    x = 26,332,074.95/5,804.68
  6. Step 6: Final answer
    x = 4,536.35

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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.