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Finding the Fourth Proportional to 3,586.88, 5,372.53 and 1,828.88

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Solution

The fourth proportional to 3,586.88, 5,372.53 and 1,828.88 is: 2,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.88 : 5,372.53 = 1,828.88 : x
  2. Step 2: Convert to fraction form
    3,586.88/5,372.53 = 1,828.88/x
  3. Step 3: Cross multiply
    3,586.88x = 5,372.53 × 1,828.88
  4. Step 4: Simplify right side
    3,586.88x = 9,825,701.38
  5. Step 5: Solve for x
    x = 9,825,701.38/3,586.88
  6. Step 6: Final answer
    x = 2,739.34

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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.