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Finding the Fourth Proportional to 4,769.53, 6,585 and 3,887.44

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Solution

The fourth proportional to 4,769.53, 6,585 and 3,887.44 is: 5,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.53 : 6,585 = 3,887.44 : x
  2. Step 2: Convert to fraction form
    4,769.53/6,585 = 3,887.44/x
  3. Step 3: Cross multiply
    4,769.53x = 6,585 × 3,887.44
  4. Step 4: Simplify right side
    4,769.53x = 25,598,792.40
  5. Step 5: Solve for x
    x = 25,598,792.40/4,769.53
  6. Step 6: Final answer
    x = 5,367.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.