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Finding the Fourth Proportional to 5,869.25, 8,099.57 and 3,216.67

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Solution

The fourth proportional to 5,869.25, 8,099.57 and 3,216.67 is: 4,439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.25 : 8,099.57 = 3,216.67 : x
  2. Step 2: Convert to fraction form
    5,869.25/8,099.57 = 3,216.67/x
  3. Step 3: Cross multiply
    5,869.25x = 8,099.57 × 3,216.67
  4. Step 4: Simplify right side
    5,869.25x = 26,053,643.83
  5. Step 5: Solve for x
    x = 26,053,643.83/5,869.25
  6. Step 6: Final answer
    x = 4,439.01

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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.