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Finding the Fourth Proportional to 5,074.53, 7,600.86 and 2,472

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Solution

The fourth proportional to 5,074.53, 7,600.86 and 2,472 is: 3,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.53 : 7,600.86 = 2,472 : x
  2. Step 2: Convert to fraction form
    5,074.53/7,600.86 = 2,472/x
  3. Step 3: Cross multiply
    5,074.53x = 7,600.86 × 2,472
  4. Step 4: Simplify right side
    5,074.53x = 18,789,325.92
  5. Step 5: Solve for x
    x = 18,789,325.92/5,074.53
  6. Step 6: Final answer
    x = 3,702.67

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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.