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Finding the Fourth Proportional to 3,370.44, 4,653.36 and 3,206.76

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Solution

The fourth proportional to 3,370.44, 4,653.36 and 3,206.76 is: 4,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.44 : 4,653.36 = 3,206.76 : x
  2. Step 2: Convert to fraction form
    3,370.44/4,653.36 = 3,206.76/x
  3. Step 3: Cross multiply
    3,370.44x = 4,653.36 × 3,206.76
  4. Step 4: Simplify right side
    3,370.44x = 14,922,208.71
  5. Step 5: Solve for x
    x = 14,922,208.71/3,370.44
  6. Step 6: Final answer
    x = 4,427.38

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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.