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Finding the Fourth Proportional to 3,842.68, 5,303.30 and 2,351.59

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Solution

The fourth proportional to 3,842.68, 5,303.30 and 2,351.59 is: 3,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.68 : 5,303.30 = 2,351.59 : x
  2. Step 2: Convert to fraction form
    3,842.68/5,303.30 = 2,351.59/x
  3. Step 3: Cross multiply
    3,842.68x = 5,303.30 × 2,351.59
  4. Step 4: Simplify right side
    3,842.68x = 12,471,187.25
  5. Step 5: Solve for x
    x = 12,471,187.25/3,842.68
  6. Step 6: Final answer
    x = 3,245.44

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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.