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Finding the Fourth Proportional to 5,305.14, 7,959.18 and 2,345.96

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Solution

The fourth proportional to 5,305.14, 7,959.18 and 2,345.96 is: 3,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.14 : 7,959.18 = 2,345.96 : x
  2. Step 2: Convert to fraction form
    5,305.14/7,959.18 = 2,345.96/x
  3. Step 3: Cross multiply
    5,305.14x = 7,959.18 × 2,345.96
  4. Step 4: Simplify right side
    5,305.14x = 18,671,917.91
  5. Step 5: Solve for x
    x = 18,671,917.91/5,305.14
  6. Step 6: Final answer
    x = 3,519.59

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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.