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Finding the Fourth Proportional to 5,868.63, 8,098.70 and 3,216.14

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Solution

The fourth proportional to 5,868.63, 8,098.70 and 3,216.14 is: 4,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.63 : 8,098.70 = 3,216.14 : x
  2. Step 2: Convert to fraction form
    5,868.63/8,098.70 = 3,216.14/x
  3. Step 3: Cross multiply
    5,868.63x = 8,098.70 × 3,216.14
  4. Step 4: Simplify right side
    5,868.63x = 26,046,553.02
  5. Step 5: Solve for x
    x = 26,046,553.02/5,868.63
  6. Step 6: Final answer
    x = 4,438.27

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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.