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Finding the Fourth Proportional to 6,900.31, 10,346 and 2,954.15

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Solution

The fourth proportional to 6,900.31, 10,346 and 2,954.15 is: 4,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.31 : 10,346 = 2,954.15 : x
  2. Step 2: Convert to fraction form
    6,900.31/10,346 = 2,954.15/x
  3. Step 3: Cross multiply
    6,900.31x = 10,346 × 2,954.15
  4. Step 4: Simplify right side
    6,900.31x = 30,563,584.17
  5. Step 5: Solve for x
    x = 30,563,584.17/6,900.31
  6. Step 6: Final answer
    x = 4,429.31

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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.