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Finding the Fourth Proportional to 3,515.56, 5,273 and 1,435.75

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Solution

The fourth proportional to 3,515.56, 5,273 and 1,435.75 is: 2,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.56 : 5,273 = 1,435.75 : x
  2. Step 2: Convert to fraction form
    3,515.56/5,273 = 1,435.75/x
  3. Step 3: Cross multiply
    3,515.56x = 5,273 × 1,435.75
  4. Step 4: Simplify right side
    3,515.56x = 7,570,709.75
  5. Step 5: Solve for x
    x = 7,570,709.75/3,515.56
  6. Step 6: Final answer
    x = 2,153.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.