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Finding the Fourth Proportional to 3,454.82, 5,182.21 and 989.63

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Solution

The fourth proportional to 3,454.82, 5,182.21 and 989.63 is: 1,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.82 : 5,182.21 = 989.63 : x
  2. Step 2: Convert to fraction form
    3,454.82/5,182.21 = 989.63/x
  3. Step 3: Cross multiply
    3,454.82x = 5,182.21 × 989.63
  4. Step 4: Simplify right side
    3,454.82x = 5,128,465.24
  5. Step 5: Solve for x
    x = 5,128,465.24/3,454.82
  6. Step 6: Final answer
    x = 1,484.44

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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.