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Finding the Fourth Proportional to 3,775.62, 5,210.38 and 2,203.42

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Solution

The fourth proportional to 3,775.62, 5,210.38 and 2,203.42 is: 3,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.62 : 5,210.38 = 2,203.42 : x
  2. Step 2: Convert to fraction form
    3,775.62/5,210.38 = 2,203.42/x
  3. Step 3: Cross multiply
    3,775.62x = 5,210.38 × 2,203.42
  4. Step 4: Simplify right side
    3,775.62x = 11,480,655.50
  5. Step 5: Solve for x
    x = 11,480,655.50/3,775.62
  6. Step 6: Final answer
    x = 3,040.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.