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Finding the Fourth Proportional to 5,845.76, 8,769.35 and 1,949.30

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Solution

The fourth proportional to 5,845.76, 8,769.35 and 1,949.30 is: 2,924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.76 : 8,769.35 = 1,949.30 : x
  2. Step 2: Convert to fraction form
    5,845.76/8,769.35 = 1,949.30/x
  3. Step 3: Cross multiply
    5,845.76x = 8,769.35 × 1,949.30
  4. Step 4: Simplify right side
    5,845.76x = 17,094,054.98
  5. Step 5: Solve for x
    x = 17,094,054.98/5,845.76
  6. Step 6: Final answer
    x = 2,924.18

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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.