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Finding the Fourth Proportional to 5,758.56, 8,626.56 and 3,804.96

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Solution

The fourth proportional to 5,758.56, 8,626.56 and 3,804.96 is: 5,699.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.56 : 8,626.56 = 3,804.96 : x
  2. Step 2: Convert to fraction form
    5,758.56/8,626.56 = 3,804.96/x
  3. Step 3: Cross multiply
    5,758.56x = 8,626.56 × 3,804.96
  4. Step 4: Simplify right side
    5,758.56x = 32,823,715.74
  5. Step 5: Solve for x
    x = 32,823,715.74/5,758.56
  6. Step 6: Final answer
    x = 5,699.99

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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.