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Finding the Fourth Proportional to 5,062.70, 6,984.42 and 3,362

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Solution

The fourth proportional to 5,062.70, 6,984.42 and 3,362 is: 4,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.70 : 6,984.42 = 3,362 : x
  2. Step 2: Convert to fraction form
    5,062.70/6,984.42 = 3,362/x
  3. Step 3: Cross multiply
    5,062.70x = 6,984.42 × 3,362
  4. Step 4: Simplify right side
    5,062.70x = 23,481,620.04
  5. Step 5: Solve for x
    x = 23,481,620.04/5,062.70
  6. Step 6: Final answer
    x = 4,638.16

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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.