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Finding the Fourth Proportional to 4,107.40, 6,193.75 and 3,653.80

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Solution

The fourth proportional to 4,107.40, 6,193.75 and 3,653.80 is: 5,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.40 : 6,193.75 = 3,653.80 : x
  2. Step 2: Convert to fraction form
    4,107.40/6,193.75 = 3,653.80/x
  3. Step 3: Cross multiply
    4,107.40x = 6,193.75 × 3,653.80
  4. Step 4: Simplify right side
    4,107.40x = 22,630,723.75
  5. Step 5: Solve for x
    x = 22,630,723.75/4,107.40
  6. Step 6: Final answer
    x = 5,509.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.