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Finding the Fourth Proportional to 3,424.63, 4,725.98 and 1,932.86

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Solution

The fourth proportional to 3,424.63, 4,725.98 and 1,932.86 is: 2,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.63 : 4,725.98 = 1,932.86 : x
  2. Step 2: Convert to fraction form
    3,424.63/4,725.98 = 1,932.86/x
  3. Step 3: Cross multiply
    3,424.63x = 4,725.98 × 1,932.86
  4. Step 4: Simplify right side
    3,424.63x = 9,134,674.35
  5. Step 5: Solve for x
    x = 9,134,674.35/3,424.63
  6. Step 6: Final answer
    x = 2,667.35

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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.