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Finding the Fourth Proportional to 4,969.08, 7,451.66 and 1,805.78

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Solution

The fourth proportional to 4,969.08, 7,451.66 and 1,805.78 is: 2,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.08 : 7,451.66 = 1,805.78 : x
  2. Step 2: Convert to fraction form
    4,969.08/7,451.66 = 1,805.78/x
  3. Step 3: Cross multiply
    4,969.08x = 7,451.66 × 1,805.78
  4. Step 4: Simplify right side
    4,969.08x = 13,456,081.74
  5. Step 5: Solve for x
    x = 13,456,081.74/4,969.08
  6. Step 6: Final answer
    x = 2,707.96

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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.