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Finding the Fourth Proportional to 4,932.96, 7,398.80 and 1,423.28

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Solution

The fourth proportional to 4,932.96, 7,398.80 and 1,423.28 is: 2,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.96 : 7,398.80 = 1,423.28 : x
  2. Step 2: Convert to fraction form
    4,932.96/7,398.80 = 1,423.28/x
  3. Step 3: Cross multiply
    4,932.96x = 7,398.80 × 1,423.28
  4. Step 4: Simplify right side
    4,932.96x = 10,530,564.06
  5. Step 5: Solve for x
    x = 10,530,564.06/4,932.96
  6. Step 6: Final answer
    x = 2,134.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.