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Finding the Fourth Proportional to 5,808.51, 8,715.20 and 3,208.41

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Solution

The fourth proportional to 5,808.51, 8,715.20 and 3,208.41 is: 4,813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.51 : 8,715.20 = 3,208.41 : x
  2. Step 2: Convert to fraction form
    5,808.51/8,715.20 = 3,208.41/x
  3. Step 3: Cross multiply
    5,808.51x = 8,715.20 × 3,208.41
  4. Step 4: Simplify right side
    5,808.51x = 27,961,918.79
  5. Step 5: Solve for x
    x = 27,961,918.79/5,808.51
  6. Step 6: Final answer
    x = 4,813.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.