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Finding the Fourth Proportional to 4,747.56, 7,123.22 and 1,825.08

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Solution

The fourth proportional to 4,747.56, 7,123.22 and 1,825.08 is: 2,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.56 : 7,123.22 = 1,825.08 : x
  2. Step 2: Convert to fraction form
    4,747.56/7,123.22 = 1,825.08/x
  3. Step 3: Cross multiply
    4,747.56x = 7,123.22 × 1,825.08
  4. Step 4: Simplify right side
    4,747.56x = 13,000,437.23
  5. Step 5: Solve for x
    x = 13,000,437.23/4,747.56
  6. Step 6: Final answer
    x = 2,738.34

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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.