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Finding the Fourth Proportional to 3,405.88, 5,106.52 and 1,213.40

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Solution

The fourth proportional to 3,405.88, 5,106.52 and 1,213.40 is: 1,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.88 : 5,106.52 = 1,213.40 : x
  2. Step 2: Convert to fraction form
    3,405.88/5,106.52 = 1,213.40/x
  3. Step 3: Cross multiply
    3,405.88x = 5,106.52 × 1,213.40
  4. Step 4: Simplify right side
    3,405.88x = 6,196,251.37
  5. Step 5: Solve for x
    x = 6,196,251.37/3,405.88
  6. Step 6: Final answer
    x = 1,819.28

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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.