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Finding the Fourth Proportional to 3,466.44, 5,155.12 and 3,357.08

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Solution

The fourth proportional to 3,466.44, 5,155.12 and 3,357.08 is: 4,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.44 : 5,155.12 = 3,357.08 : x
  2. Step 2: Convert to fraction form
    3,466.44/5,155.12 = 3,357.08/x
  3. Step 3: Cross multiply
    3,466.44x = 5,155.12 × 3,357.08
  4. Step 4: Simplify right side
    3,466.44x = 17,306,150.25
  5. Step 5: Solve for x
    x = 17,306,150.25/3,466.44
  6. Step 6: Final answer
    x = 4,992.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.