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Finding the Fourth Proportional to 4,903.48, 6,768.38 and 3,139.84

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Solution

The fourth proportional to 4,903.48, 6,768.38 and 3,139.84 is: 4,333.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.48 : 6,768.38 = 3,139.84 : x
  2. Step 2: Convert to fraction form
    4,903.48/6,768.38 = 3,139.84/x
  3. Step 3: Cross multiply
    4,903.48x = 6,768.38 × 3,139.84
  4. Step 4: Simplify right side
    4,903.48x = 21,251,630.26
  5. Step 5: Solve for x
    x = 21,251,630.26/4,903.48
  6. Step 6: Final answer
    x = 4,333.99

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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.