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Finding the Fourth Proportional to 3,775.34, 5,662.02 and 1,403.22

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Solution

The fourth proportional to 3,775.34, 5,662.02 and 1,403.22 is: 2,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.34 : 5,662.02 = 1,403.22 : x
  2. Step 2: Convert to fraction form
    3,775.34/5,662.02 = 1,403.22/x
  3. Step 3: Cross multiply
    3,775.34x = 5,662.02 × 1,403.22
  4. Step 4: Simplify right side
    3,775.34x = 7,945,059.70
  5. Step 5: Solve for x
    x = 7,945,059.70/3,775.34
  6. Step 6: Final answer
    x = 2,104.46

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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.