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Finding the Fourth Proportional to 3,172, 4,379.52 and 1,932.16

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Solution

The fourth proportional to 3,172, 4,379.52 and 1,932.16 is: 2,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172 : 4,379.52 = 1,932.16 : x
  2. Step 2: Convert to fraction form
    3,172/4,379.52 = 1,932.16/x
  3. Step 3: Cross multiply
    3,172x = 4,379.52 × 1,932.16
  4. Step 4: Simplify right side
    3,172x = 8,461,933.36
  5. Step 5: Solve for x
    x = 8,461,933.36/3,172
  6. Step 6: Final answer
    x = 2,667.70

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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.