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Finding the Fourth Proportional to 4,644.42, 6,965.91 and 1,356.63

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Solution

The fourth proportional to 4,644.42, 6,965.91 and 1,356.63 is: 2,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.42 : 6,965.91 = 1,356.63 : x
  2. Step 2: Convert to fraction form
    4,644.42/6,965.91 = 1,356.63/x
  3. Step 3: Cross multiply
    4,644.42x = 6,965.91 × 1,356.63
  4. Step 4: Simplify right side
    4,644.42x = 9,450,162.48
  5. Step 5: Solve for x
    x = 9,450,162.48/4,644.42
  6. Step 6: Final answer
    x = 2,034.73

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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.