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Finding the Fourth Proportional to 4,126.97, 6,190.38 and 1,007

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Solution

The fourth proportional to 4,126.97, 6,190.38 and 1,007 is: 1,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126.97 : 6,190.38 = 1,007 : x
  2. Step 2: Convert to fraction form
    4,126.97/6,190.38 = 1,007/x
  3. Step 3: Cross multiply
    4,126.97x = 6,190.38 × 1,007
  4. Step 4: Simplify right side
    4,126.97x = 6,233,712.66
  5. Step 5: Solve for x
    x = 6,233,712.66/4,126.97
  6. Step 6: Final answer
    x = 1,510.48

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