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Finding the Fourth Proportional to 3,257.47, 4,495.30 and 1,765.42

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Solution

The fourth proportional to 3,257.47, 4,495.30 and 1,765.42 is: 2,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.47 : 4,495.30 = 1,765.42 : x
  2. Step 2: Convert to fraction form
    3,257.47/4,495.30 = 1,765.42/x
  3. Step 3: Cross multiply
    3,257.47x = 4,495.30 × 1,765.42
  4. Step 4: Simplify right side
    3,257.47x = 7,936,083.70
  5. Step 5: Solve for x
    x = 7,936,083.70/3,257.47
  6. Step 6: Final answer
    x = 2,436.28

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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.