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Finding the Fourth Proportional to 5,629.76, 7,771.84 and 3,535.04

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Solution

The fourth proportional to 5,629.76, 7,771.84 and 3,535.04 is: 4,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.76 : 7,771.84 = 3,535.04 : x
  2. Step 2: Convert to fraction form
    5,629.76/7,771.84 = 3,535.04/x
  3. Step 3: Cross multiply
    5,629.76x = 7,771.84 × 3,535.04
  4. Step 4: Simplify right side
    5,629.76x = 27,473,765.27
  5. Step 5: Solve for x
    x = 27,473,765.27/5,629.76
  6. Step 6: Final answer
    x = 4,880.10

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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.