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Finding the Fourth Proportional to 5,860.81, 8,088 and 3,208.46

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Solution

The fourth proportional to 5,860.81, 8,088 and 3,208.46 is: 4,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860.81 : 8,088 = 3,208.46 : x
  2. Step 2: Convert to fraction form
    5,860.81/8,088 = 3,208.46/x
  3. Step 3: Cross multiply
    5,860.81x = 8,088 × 3,208.46
  4. Step 4: Simplify right side
    5,860.81x = 25,950,024.48
  5. Step 5: Solve for x
    x = 25,950,024.48/5,860.81
  6. Step 6: Final answer
    x = 4,427.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.