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Finding the Fourth Proportional to 3,708.94, 5,118.30 and 2,137

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Solution

The fourth proportional to 3,708.94, 5,118.30 and 2,137 is: 2,949.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.94 : 5,118.30 = 2,137 : x
  2. Step 2: Convert to fraction form
    3,708.94/5,118.30 = 2,137/x
  3. Step 3: Cross multiply
    3,708.94x = 5,118.30 × 2,137
  4. Step 4: Simplify right side
    3,708.94x = 10,937,807.10
  5. Step 5: Solve for x
    x = 10,937,807.10/3,708.94
  6. Step 6: Final answer
    x = 2,949.04

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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.