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Finding the Fourth Proportional to 4,751.82, 7,127.70 and 1,464

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Solution

The fourth proportional to 4,751.82, 7,127.70 and 1,464 is: 2,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.82 : 7,127.70 = 1,464 : x
  2. Step 2: Convert to fraction form
    4,751.82/7,127.70 = 1,464/x
  3. Step 3: Cross multiply
    4,751.82x = 7,127.70 × 1,464
  4. Step 4: Simplify right side
    4,751.82x = 10,434,952.80
  5. Step 5: Solve for x
    x = 10,434,952.80/4,751.82
  6. Step 6: Final answer
    x = 2,195.99

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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.