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Finding the Fourth Proportional to 4,596.80, 6,894.52 and 1,674.42

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Solution

The fourth proportional to 4,596.80, 6,894.52 and 1,674.42 is: 2,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.80 : 6,894.52 = 1,674.42 : x
  2. Step 2: Convert to fraction form
    4,596.80/6,894.52 = 1,674.42/x
  3. Step 3: Cross multiply
    4,596.80x = 6,894.52 × 1,674.42
  4. Step 4: Simplify right side
    4,596.80x = 11,544,330.92
  5. Step 5: Solve for x
    x = 11,544,330.92/4,596.80
  6. Step 6: Final answer
    x = 2,511.38

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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.