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Finding the Fourth Proportional to 5,725.85, 7,902.41 and 3,368.21

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Solution

The fourth proportional to 5,725.85, 7,902.41 and 3,368.21 is: 4,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.85 : 7,902.41 = 3,368.21 : x
  2. Step 2: Convert to fraction form
    5,725.85/7,902.41 = 3,368.21/x
  3. Step 3: Cross multiply
    5,725.85x = 7,902.41 × 3,368.21
  4. Step 4: Simplify right side
    5,725.85x = 26,616,959.55
  5. Step 5: Solve for x
    x = 26,616,959.55/5,725.85
  6. Step 6: Final answer
    x = 4,648.56

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