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Finding the Fourth Proportional to 3,635.46, 5,454.99 and 1,689.03

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Solution

The fourth proportional to 3,635.46, 5,454.99 and 1,689.03 is: 2,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.46 : 5,454.99 = 1,689.03 : x
  2. Step 2: Convert to fraction form
    3,635.46/5,454.99 = 1,689.03/x
  3. Step 3: Cross multiply
    3,635.46x = 5,454.99 × 1,689.03
  4. Step 4: Simplify right side
    3,635.46x = 9,213,641.76
  5. Step 5: Solve for x
    x = 9,213,641.76/3,635.46
  6. Step 6: Final answer
    x = 2,534.38

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