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Finding the Fourth Proportional to 3,162.52, 4,364.31 and 1,835.74

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Solution

The fourth proportional to 3,162.52, 4,364.31 and 1,835.74 is: 2,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.52 : 4,364.31 = 1,835.74 : x
  2. Step 2: Convert to fraction form
    3,162.52/4,364.31 = 1,835.74/x
  3. Step 3: Cross multiply
    3,162.52x = 4,364.31 × 1,835.74
  4. Step 4: Simplify right side
    3,162.52x = 8,011,738.44
  5. Step 5: Solve for x
    x = 8,011,738.44/3,162.52
  6. Step 6: Final answer
    x = 2,533.34

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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.