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Finding the Fourth Proportional to 3,368.25, 5,054.00 and 1,829.25

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Solution

The fourth proportional to 3,368.25, 5,054.00 and 1,829.25 is: 2,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.25 : 5,054.00 = 1,829.25 : x
  2. Step 2: Convert to fraction form
    3,368.25/5,054.00 = 1,829.25/x
  3. Step 3: Cross multiply
    3,368.25x = 5,054.00 × 1,829.25
  4. Step 4: Simplify right side
    3,368.25x = 9,245,020.35
  5. Step 5: Solve for x
    x = 9,245,020.35/3,368.25
  6. Step 6: Final answer
    x = 2,744.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.