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Finding the Fourth Proportional to 5,149.44, 7,705.70 and 4,458.49

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Solution

The fourth proportional to 5,149.44, 7,705.70 and 4,458.49 is: 6,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.44 : 7,705.70 = 4,458.49 : x
  2. Step 2: Convert to fraction form
    5,149.44/7,705.70 = 4,458.49/x
  3. Step 3: Cross multiply
    5,149.44x = 7,705.70 × 4,458.49
  4. Step 4: Simplify right side
    5,149.44x = 34,355,725.57
  5. Step 5: Solve for x
    x = 34,355,725.57/5,149.44
  6. Step 6: Final answer
    x = 6,671.75

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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.