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Finding the Fourth Proportional to 3,837.76, 5,296.38 and 2,345.96

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Solution

The fourth proportional to 3,837.76, 5,296.38 and 2,345.96 is: 3,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.76 : 5,296.38 = 2,345.96 : x
  2. Step 2: Convert to fraction form
    3,837.76/5,296.38 = 2,345.96/x
  3. Step 3: Cross multiply
    3,837.76x = 5,296.38 × 2,345.96
  4. Step 4: Simplify right side
    3,837.76x = 12,425,095.62
  5. Step 5: Solve for x
    x = 12,425,095.62/3,837.76
  6. Step 6: Final answer
    x = 3,237.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.