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Finding the Fourth Proportional to 3,775.50, 5,210.20 and 2,203.90

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Solution

The fourth proportional to 3,775.50, 5,210.20 and 2,203.90 is: 3,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.50 : 5,210.20 = 2,203.90 : x
  2. Step 2: Convert to fraction form
    3,775.50/5,210.20 = 2,203.90/x
  3. Step 3: Cross multiply
    3,775.50x = 5,210.20 × 2,203.90
  4. Step 4: Simplify right side
    3,775.50x = 11,482,759.78
  5. Step 5: Solve for x
    x = 11,482,759.78/3,775.50
  6. Step 6: Final answer
    x = 3,041.39

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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.