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Finding the Fourth Proportional to 4,825.99, 7,232.50 and 1,902.70

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Solution

The fourth proportional to 4,825.99, 7,232.50 and 1,902.70 is: 2,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.99 : 7,232.50 = 1,902.70 : x
  2. Step 2: Convert to fraction form
    4,825.99/7,232.50 = 1,902.70/x
  3. Step 3: Cross multiply
    4,825.99x = 7,232.50 × 1,902.70
  4. Step 4: Simplify right side
    4,825.99x = 13,761,277.75
  5. Step 5: Solve for x
    x = 13,761,277.75/4,825.99
  6. Step 6: Final answer
    x = 2,851.49

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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.