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Finding the Fourth Proportional to 3,467.94, 4,785.20 and 2,142.08

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Solution

The fourth proportional to 3,467.94, 4,785.20 and 2,142.08 is: 2,955.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.94 : 4,785.20 = 2,142.08 : x
  2. Step 2: Convert to fraction form
    3,467.94/4,785.20 = 2,142.08/x
  3. Step 3: Cross multiply
    3,467.94x = 4,785.20 × 2,142.08
  4. Step 4: Simplify right side
    3,467.94x = 10,250,281.22
  5. Step 5: Solve for x
    x = 10,250,281.22/3,467.94
  6. Step 6: Final answer
    x = 2,955.73

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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.