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Finding the Fourth Proportional to 3,293.94, 4,941.94 and 2,059.64

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Solution

The fourth proportional to 3,293.94, 4,941.94 and 2,059.64 is: 3,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.94 : 4,941.94 = 2,059.64 : x
  2. Step 2: Convert to fraction form
    3,293.94/4,941.94 = 2,059.64/x
  3. Step 3: Cross multiply
    3,293.94x = 4,941.94 × 2,059.64
  4. Step 4: Simplify right side
    3,293.94x = 10,178,617.30
  5. Step 5: Solve for x
    x = 10,178,617.30/3,293.94
  6. Step 6: Final answer
    x = 3,090.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.