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Finding the Fourth Proportional to 5,868.90, 8,099.34 and 3,216.50

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Solution

The fourth proportional to 5,868.90, 8,099.34 and 3,216.50 is: 4,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.90 : 8,099.34 = 3,216.50 : x
  2. Step 2: Convert to fraction form
    5,868.90/8,099.34 = 3,216.50/x
  3. Step 3: Cross multiply
    5,868.90x = 8,099.34 × 3,216.50
  4. Step 4: Simplify right side
    5,868.90x = 26,051,527.11
  5. Step 5: Solve for x
    x = 26,051,527.11/5,868.90
  6. Step 6: Final answer
    x = 4,438.91

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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.