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Finding the Fourth Proportional to 5,101.98, 7,660.02 and 2,638.50

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Solution

The fourth proportional to 5,101.98, 7,660.02 and 2,638.50 is: 3,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.98 : 7,660.02 = 2,638.50 : x
  2. Step 2: Convert to fraction form
    5,101.98/7,660.02 = 2,638.50/x
  3. Step 3: Cross multiply
    5,101.98x = 7,660.02 × 2,638.50
  4. Step 4: Simplify right side
    5,101.98x = 20,210,962.77
  5. Step 5: Solve for x
    x = 20,210,962.77/5,101.98
  6. Step 6: Final answer
    x = 3,961.40

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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.