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Finding the Fourth Proportional to 3,780.87, 5,676.44 and 2,607.97

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Solution

The fourth proportional to 3,780.87, 5,676.44 and 2,607.97 is: 3,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.87 : 5,676.44 = 2,607.97 : x
  2. Step 2: Convert to fraction form
    3,780.87/5,676.44 = 2,607.97/x
  3. Step 3: Cross multiply
    3,780.87x = 5,676.44 × 2,607.97
  4. Step 4: Simplify right side
    3,780.87x = 14,803,985.23
  5. Step 5: Solve for x
    x = 14,803,985.23/3,780.87
  6. Step 6: Final answer
    x = 3,915.50

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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.