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Finding the Fourth Proportional to 3,294.12, 4,941.42 and 1,104.36

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Solution

The fourth proportional to 3,294.12, 4,941.42 and 1,104.36 is: 1,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.12 : 4,941.42 = 1,104.36 : x
  2. Step 2: Convert to fraction form
    3,294.12/4,941.42 = 1,104.36/x
  3. Step 3: Cross multiply
    3,294.12x = 4,941.42 × 1,104.36
  4. Step 4: Simplify right side
    3,294.12x = 5,457,106.59
  5. Step 5: Solve for x
    x = 5,457,106.59/3,294.12
  6. Step 6: Final answer
    x = 1,656.62

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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.