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Finding the Fourth Proportional to 3,820.08, 5,271.56 and 2,164.08

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Solution

The fourth proportional to 3,820.08, 5,271.56 and 2,164.08 is: 2,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.08 : 5,271.56 = 2,164.08 : x
  2. Step 2: Convert to fraction form
    3,820.08/5,271.56 = 2,164.08/x
  3. Step 3: Cross multiply
    3,820.08x = 5,271.56 × 2,164.08
  4. Step 4: Simplify right side
    3,820.08x = 11,408,077.56
  5. Step 5: Solve for x
    x = 11,408,077.56/3,820.08
  6. Step 6: Final answer
    x = 2,986.35

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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.