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Finding the Fourth Proportional to 4,470.63, 6,705.42 and 1,183.98

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Solution

The fourth proportional to 4,470.63, 6,705.42 and 1,183.98 is: 1,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.63 : 6,705.42 = 1,183.98 : x
  2. Step 2: Convert to fraction form
    4,470.63/6,705.42 = 1,183.98/x
  3. Step 3: Cross multiply
    4,470.63x = 6,705.42 × 1,183.98
  4. Step 4: Simplify right side
    4,470.63x = 7,939,083.17
  5. Step 5: Solve for x
    x = 7,939,083.17/4,470.63
  6. Step 6: Final answer
    x = 1,775.83

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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.