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Finding the Fourth Proportional to 3,700.08, 5,106.18 and 2,106.96

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Solution

The fourth proportional to 3,700.08, 5,106.18 and 2,106.96 is: 2,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.08 : 5,106.18 = 2,106.96 : x
  2. Step 2: Convert to fraction form
    3,700.08/5,106.18 = 2,106.96/x
  3. Step 3: Cross multiply
    3,700.08x = 5,106.18 × 2,106.96
  4. Step 4: Simplify right side
    3,700.08x = 10,758,517.01
  5. Step 5: Solve for x
    x = 10,758,517.01/3,700.08
  6. Step 6: Final answer
    x = 2,907.64

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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.