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Finding the Fourth Proportional to 3,700.49, 5,106.21 and 2,107.35

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Solution

The fourth proportional to 3,700.49, 5,106.21 and 2,107.35 is: 2,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.49 : 5,106.21 = 2,107.35 : x
  2. Step 2: Convert to fraction form
    3,700.49/5,106.21 = 2,107.35/x
  3. Step 3: Cross multiply
    3,700.49x = 5,106.21 × 2,107.35
  4. Step 4: Simplify right side
    3,700.49x = 10,760,571.64
  5. Step 5: Solve for x
    x = 10,760,571.64/3,700.49
  6. Step 6: Final answer
    x = 2,907.88

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