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Finding the Fourth Proportional to 3,825.75, 5,266.58 and 3,432.63

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Solution

The fourth proportional to 3,825.75, 5,266.58 and 3,432.63 is: 4,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.75 : 5,266.58 = 3,432.63 : x
  2. Step 2: Convert to fraction form
    3,825.75/5,266.58 = 3,432.63/x
  3. Step 3: Cross multiply
    3,825.75x = 5,266.58 × 3,432.63
  4. Step 4: Simplify right side
    3,825.75x = 18,078,203.34
  5. Step 5: Solve for x
    x = 18,078,203.34/3,825.75
  6. Step 6: Final answer
    x = 4,725.40

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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.