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Finding the Fourth Proportional to 3,783.38, 5,219.99 and 2,574.15

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Solution

The fourth proportional to 3,783.38, 5,219.99 and 2,574.15 is: 3,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.38 : 5,219.99 = 2,574.15 : x
  2. Step 2: Convert to fraction form
    3,783.38/5,219.99 = 2,574.15/x
  3. Step 3: Cross multiply
    3,783.38x = 5,219.99 × 2,574.15
  4. Step 4: Simplify right side
    3,783.38x = 13,437,028.95
  5. Step 5: Solve for x
    x = 13,437,028.95/3,783.38
  6. Step 6: Final answer
    x = 3,551.60

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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.