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Finding the Fourth Proportional to 4,185.50, 6,276.86 and 1,411.48

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Solution

The fourth proportional to 4,185.50, 6,276.86 and 1,411.48 is: 2,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.50 : 6,276.86 = 1,411.48 : x
  2. Step 2: Convert to fraction form
    4,185.50/6,276.86 = 1,411.48/x
  3. Step 3: Cross multiply
    4,185.50x = 6,276.86 × 1,411.48
  4. Step 4: Simplify right side
    4,185.50x = 8,859,662.35
  5. Step 5: Solve for x
    x = 8,859,662.35/4,185.50
  6. Step 6: Final answer
    x = 2,116.75

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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.