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Finding the Fourth Proportional to 5,631.63, 7,773.47 and 3,535.75

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Solution

The fourth proportional to 5,631.63, 7,773.47 and 3,535.75 is: 4,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.63 : 7,773.47 = 3,535.75 : x
  2. Step 2: Convert to fraction form
    5,631.63/7,773.47 = 3,535.75/x
  3. Step 3: Cross multiply
    5,631.63x = 7,773.47 × 3,535.75
  4. Step 4: Simplify right side
    5,631.63x = 27,485,046.55
  5. Step 5: Solve for x
    x = 27,485,046.55/5,631.63
  6. Step 6: Final answer
    x = 4,880.48

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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.