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Finding the Fourth Proportional to 3,454.40, 5,181.32 and 989.11

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Solution

The fourth proportional to 3,454.40, 5,181.32 and 989.11 is: 1,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.40 : 5,181.32 = 989.11 : x
  2. Step 2: Convert to fraction form
    3,454.40/5,181.32 = 989.11/x
  3. Step 3: Cross multiply
    3,454.40x = 5,181.32 × 989.11
  4. Step 4: Simplify right side
    3,454.40x = 5,124,898.81
  5. Step 5: Solve for x
    x = 5,124,898.81/3,454.40
  6. Step 6: Final answer
    x = 1,483.59

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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.