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Finding the Fourth Proportional to 4,127.97, 6,191.88 and 1,008

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Solution

The fourth proportional to 4,127.97, 6,191.88 and 1,008 is: 1,511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.97 : 6,191.88 = 1,008 : x
  2. Step 2: Convert to fraction form
    4,127.97/6,191.88 = 1,008/x
  3. Step 3: Cross multiply
    4,127.97x = 6,191.88 × 1,008
  4. Step 4: Simplify right side
    4,127.97x = 6,241,415.04
  5. Step 5: Solve for x
    x = 6,241,415.04/4,127.97
  6. Step 6: Final answer
    x = 1,511.98

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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.