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Finding the Fourth Proportional to 4,596.14, 6,342.71 and 2,500.26

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Solution

The fourth proportional to 4,596.14, 6,342.71 and 2,500.26 is: 3,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.14 : 6,342.71 = 2,500.26 : x
  2. Step 2: Convert to fraction form
    4,596.14/6,342.71 = 2,500.26/x
  3. Step 3: Cross multiply
    4,596.14x = 6,342.71 × 2,500.26
  4. Step 4: Simplify right side
    4,596.14x = 15,858,424.10
  5. Step 5: Solve for x
    x = 15,858,424.10/4,596.14
  6. Step 6: Final answer
    x = 3,450.38

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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.