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Finding the Fourth Proportional to 3,986.06, 5,501.68 and 2,586.38

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Solution

The fourth proportional to 3,986.06, 5,501.68 and 2,586.38 is: 3,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.06 : 5,501.68 = 2,586.38 : x
  2. Step 2: Convert to fraction form
    3,986.06/5,501.68 = 2,586.38/x
  3. Step 3: Cross multiply
    3,986.06x = 5,501.68 × 2,586.38
  4. Step 4: Simplify right side
    3,986.06x = 14,229,435.12
  5. Step 5: Solve for x
    x = 14,229,435.12/3,986.06
  6. Step 6: Final answer
    x = 3,569.80

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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.