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Finding the Fourth Proportional to 3,597.90, 4,965.46 and 2,181.54

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Solution

The fourth proportional to 3,597.90, 4,965.46 and 2,181.54 is: 3,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.90 : 4,965.46 = 2,181.54 : x
  2. Step 2: Convert to fraction form
    3,597.90/4,965.46 = 2,181.54/x
  3. Step 3: Cross multiply
    3,597.90x = 4,965.46 × 2,181.54
  4. Step 4: Simplify right side
    3,597.90x = 10,832,349.61
  5. Step 5: Solve for x
    x = 10,832,349.61/3,597.90
  6. Step 6: Final answer
    x = 3,010.74

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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.