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Finding the Fourth Proportional to 3,782.25, 5,219.94 and 2,210.25

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Solution

The fourth proportional to 3,782.25, 5,219.94 and 2,210.25 is: 3,050.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.25 : 5,219.94 = 2,210.25 : x
  2. Step 2: Convert to fraction form
    3,782.25/5,219.94 = 2,210.25/x
  3. Step 3: Cross multiply
    3,782.25x = 5,219.94 × 2,210.25
  4. Step 4: Simplify right side
    3,782.25x = 11,537,372.39
  5. Step 5: Solve for x
    x = 11,537,372.39/3,782.25
  6. Step 6: Final answer
    x = 3,050.40

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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.