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Finding the Fourth Proportional to 3,405.32, 5,108.66 and 1,213.76

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Solution

The fourth proportional to 3,405.32, 5,108.66 and 1,213.76 is: 1,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.32 : 5,108.66 = 1,213.76 : x
  2. Step 2: Convert to fraction form
    3,405.32/5,108.66 = 1,213.76/x
  3. Step 3: Cross multiply
    3,405.32x = 5,108.66 × 1,213.76
  4. Step 4: Simplify right side
    3,405.32x = 6,200,698.42
  5. Step 5: Solve for x
    x = 6,200,698.42/3,405.32
  6. Step 6: Final answer
    x = 1,820.89

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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.