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Finding the Fourth Proportional to 6,857.58, 10,283.84 and 3,346.57

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Solution

The fourth proportional to 6,857.58, 10,283.84 and 3,346.57 is: 5,018.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.58 : 10,283.84 = 3,346.57 : x
  2. Step 2: Convert to fraction form
    6,857.58/10,283.84 = 3,346.57/x
  3. Step 3: Cross multiply
    6,857.58x = 10,283.84 × 3,346.57
  4. Step 4: Simplify right side
    6,857.58x = 34,415,590.43
  5. Step 5: Solve for x
    x = 34,415,590.43/6,857.58
  6. Step 6: Final answer
    x = 5,018.62

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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.