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Finding the Fourth Proportional to 5,076.53, 7,603.86 and 2,474

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Solution

The fourth proportional to 5,076.53, 7,603.86 and 2,474 is: 3,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.53 : 7,603.86 = 2,474 : x
  2. Step 2: Convert to fraction form
    5,076.53/7,603.86 = 2,474/x
  3. Step 3: Cross multiply
    5,076.53x = 7,603.86 × 2,474
  4. Step 4: Simplify right side
    5,076.53x = 18,811,949.64
  5. Step 5: Solve for x
    x = 18,811,949.64/5,076.53
  6. Step 6: Final answer
    x = 3,705.67

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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.