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Finding the Fourth Proportional to 4,633.76, 6,939.84 and 2,289.44

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Solution

The fourth proportional to 4,633.76, 6,939.84 and 2,289.44 is: 3,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.76 : 6,939.84 = 2,289.44 : x
  2. Step 2: Convert to fraction form
    4,633.76/6,939.84 = 2,289.44/x
  3. Step 3: Cross multiply
    4,633.76x = 6,939.84 × 2,289.44
  4. Step 4: Simplify right side
    4,633.76x = 15,888,347.29
  5. Step 5: Solve for x
    x = 15,888,347.29/4,633.76
  6. Step 6: Final answer
    x = 3,428.82

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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.