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Finding the Fourth Proportional to 4,592.48, 6,891.96 and 2,642

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Solution

The fourth proportional to 4,592.48, 6,891.96 and 2,642 is: 3,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.48 : 6,891.96 = 2,642 : x
  2. Step 2: Convert to fraction form
    4,592.48/6,891.96 = 2,642/x
  3. Step 3: Cross multiply
    4,592.48x = 6,891.96 × 2,642
  4. Step 4: Simplify right side
    4,592.48x = 18,208,558.32
  5. Step 5: Solve for x
    x = 18,208,558.32/4,592.48
  6. Step 6: Final answer
    x = 3,964.86

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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.