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Finding the Fourth Proportional to 4,948.02, 6,828.38 and 2,710

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Solution

The fourth proportional to 4,948.02, 6,828.38 and 2,710 is: 3,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.02 : 6,828.38 = 2,710 : x
  2. Step 2: Convert to fraction form
    4,948.02/6,828.38 = 2,710/x
  3. Step 3: Cross multiply
    4,948.02x = 6,828.38 × 2,710
  4. Step 4: Simplify right side
    4,948.02x = 18,504,909.80
  5. Step 5: Solve for x
    x = 18,504,909.80/4,948.02
  6. Step 6: Final answer
    x = 3,739.86

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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.