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Finding the Fourth Proportional to 5,694.30, 7,857.54 and 3,303.81

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Solution

The fourth proportional to 5,694.30, 7,857.54 and 3,303.81 is: 4,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.30 : 7,857.54 = 3,303.81 : x
  2. Step 2: Convert to fraction form
    5,694.30/7,857.54 = 3,303.81/x
  3. Step 3: Cross multiply
    5,694.30x = 7,857.54 × 3,303.81
  4. Step 4: Simplify right side
    5,694.30x = 25,959,819.23
  5. Step 5: Solve for x
    x = 25,959,819.23/5,694.30
  6. Step 6: Final answer
    x = 4,558.91

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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.