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Finding the Fourth Proportional to 6,301.56, 8,696.42 and 3,507

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Solution

The fourth proportional to 6,301.56, 8,696.42 and 3,507 is: 4,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.56 : 8,696.42 = 3,507 : x
  2. Step 2: Convert to fraction form
    6,301.56/8,696.42 = 3,507/x
  3. Step 3: Cross multiply
    6,301.56x = 8,696.42 × 3,507
  4. Step 4: Simplify right side
    6,301.56x = 30,498,344.94
  5. Step 5: Solve for x
    x = 30,498,344.94/6,301.56
  6. Step 6: Final answer
    x = 4,839.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.