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Finding the Fourth Proportional to 5,866.15, 8,095.24 and 3,213.50

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Solution

The fourth proportional to 5,866.15, 8,095.24 and 3,213.50 is: 4,434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.15 : 8,095.24 = 3,213.50 : x
  2. Step 2: Convert to fraction form
    5,866.15/8,095.24 = 3,213.50/x
  3. Step 3: Cross multiply
    5,866.15x = 8,095.24 × 3,213.50
  4. Step 4: Simplify right side
    5,866.15x = 26,014,040.05
  5. Step 5: Solve for x
    x = 26,014,040.05/5,866.15
  6. Step 6: Final answer
    x = 4,434.60

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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.