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Finding the Fourth Proportional to 5,631.75, 7,773.64 and 3,535.88

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Solution

The fourth proportional to 5,631.75, 7,773.64 and 3,535.88 is: 4,880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.75 : 7,773.64 = 3,535.88 : x
  2. Step 2: Convert to fraction form
    5,631.75/7,773.64 = 3,535.88/x
  3. Step 3: Cross multiply
    5,631.75x = 7,773.64 × 3,535.88
  4. Step 4: Simplify right side
    5,631.75x = 27,486,610.50
  5. Step 5: Solve for x
    x = 27,486,610.50/5,631.75
  6. Step 6: Final answer
    x = 4,880.65

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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.