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Finding the Fourth Proportional to 3,437.44, 4,744.74 and 2,195.44

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Solution

The fourth proportional to 3,437.44, 4,744.74 and 2,195.44 is: 3,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.44 : 4,744.74 = 2,195.44 : x
  2. Step 2: Convert to fraction form
    3,437.44/4,744.74 = 2,195.44/x
  3. Step 3: Cross multiply
    3,437.44x = 4,744.74 × 2,195.44
  4. Step 4: Simplify right side
    3,437.44x = 10,416,788.36
  5. Step 5: Solve for x
    x = 10,416,788.36/3,437.44
  6. Step 6: Final answer
    x = 3,030.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.