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Finding the Fourth Proportional to 4,596, 6,342.54 and 2,500.13

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Solution

The fourth proportional to 4,596, 6,342.54 and 2,500.13 is: 3,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596 : 6,342.54 = 2,500.13 : x
  2. Step 2: Convert to fraction form
    4,596/6,342.54 = 2,500.13/x
  3. Step 3: Cross multiply
    4,596x = 6,342.54 × 2,500.13
  4. Step 4: Simplify right side
    4,596x = 15,857,142.82
  5. Step 5: Solve for x
    x = 15,857,142.82/4,596
  6. Step 6: Final answer
    x = 3,450.21

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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.