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Finding the Fourth Proportional to 3,462.32, 5,191.07 and 1,820.05

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Solution

The fourth proportional to 3,462.32, 5,191.07 and 1,820.05 is: 2,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.32 : 5,191.07 = 1,820.05 : x
  2. Step 2: Convert to fraction form
    3,462.32/5,191.07 = 1,820.05/x
  3. Step 3: Cross multiply
    3,462.32x = 5,191.07 × 1,820.05
  4. Step 4: Simplify right side
    3,462.32x = 9,447,984.88
  5. Step 5: Solve for x
    x = 9,447,984.88/3,462.32
  6. Step 6: Final answer
    x = 2,728.80

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