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Finding the Fourth Proportional to 3,305.40, 4,958.28 and 1,114.32

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Solution

The fourth proportional to 3,305.40, 4,958.28 and 1,114.32 is: 1,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.40 : 4,958.28 = 1,114.32 : x
  2. Step 2: Convert to fraction form
    3,305.40/4,958.28 = 1,114.32/x
  3. Step 3: Cross multiply
    3,305.40x = 4,958.28 × 1,114.32
  4. Step 4: Simplify right side
    3,305.40x = 5,525,110.57
  5. Step 5: Solve for x
    x = 5,525,110.57/3,305.40
  6. Step 6: Final answer
    x = 1,671.54

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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.