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Finding the Fourth Proportional to 4,470.44, 6,705.86 and 2,005.20

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Solution

The fourth proportional to 4,470.44, 6,705.86 and 2,005.20 is: 3,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.44 : 6,705.86 = 2,005.20 : x
  2. Step 2: Convert to fraction form
    4,470.44/6,705.86 = 2,005.20/x
  3. Step 3: Cross multiply
    4,470.44x = 6,705.86 × 2,005.20
  4. Step 4: Simplify right side
    4,470.44x = 13,446,580.45
  5. Step 5: Solve for x
    x = 13,446,580.45/4,470.44
  6. Step 6: Final answer
    x = 3,007.89

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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.