Home / 3,775.89-5,667-1,586.16

Finding the Fourth Proportional to 3,775.89, 5,667 and 1,586.16

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Solution

The fourth proportional to 3,775.89, 5,667 and 1,586.16 is: 2,380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.89 : 5,667 = 1,586.16 : x
  2. Step 2: Convert to fraction form
    3,775.89/5,667 = 1,586.16/x
  3. Step 3: Cross multiply
    3,775.89x = 5,667 × 1,586.16
  4. Step 4: Simplify right side
    3,775.89x = 8,988,768.72
  5. Step 5: Solve for x
    x = 8,988,768.72/3,775.89
  6. Step 6: Final answer
    x = 2,380.57

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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.