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Finding the Fourth Proportional to 3,253.86, 4,490.38 and 1,837.83

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Solution

The fourth proportional to 3,253.86, 4,490.38 and 1,837.83 is: 2,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.86 : 4,490.38 = 1,837.83 : x
  2. Step 2: Convert to fraction form
    3,253.86/4,490.38 = 1,837.83/x
  3. Step 3: Cross multiply
    3,253.86x = 4,490.38 × 1,837.83
  4. Step 4: Simplify right side
    3,253.86x = 8,252,555.08
  5. Step 5: Solve for x
    x = 8,252,555.08/3,253.86
  6. Step 6: Final answer
    x = 2,536.24

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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.