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Finding the Fourth Proportional to 4,830, 6,665.48 and 2,622

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Solution

The fourth proportional to 4,830, 6,665.48 and 2,622 is: 3,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830 : 6,665.48 = 2,622 : x
  2. Step 2: Convert to fraction form
    4,830/6,665.48 = 2,622/x
  3. Step 3: Cross multiply
    4,830x = 6,665.48 × 2,622
  4. Step 4: Simplify right side
    4,830x = 17,476,888.56
  5. Step 5: Solve for x
    x = 17,476,888.56/4,830
  6. Step 6: Final answer
    x = 3,618.40

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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.