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Finding the Fourth Proportional to 4,757.47, 7,134.10 and 1,636.63

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Solution

The fourth proportional to 4,757.47, 7,134.10 and 1,636.63 is: 2,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.47 : 7,134.10 = 1,636.63 : x
  2. Step 2: Convert to fraction form
    4,757.47/7,134.10 = 1,636.63/x
  3. Step 3: Cross multiply
    4,757.47x = 7,134.10 × 1,636.63
  4. Step 4: Simplify right side
    4,757.47x = 11,675,860.16
  5. Step 5: Solve for x
    x = 11,675,860.16/4,757.47
  6. Step 6: Final answer
    x = 2,454.22

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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.