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Finding the Fourth Proportional to 3,788.46, 5,248.35 and 3,697.74

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Solution

The fourth proportional to 3,788.46, 5,248.35 and 3,697.74 is: 5,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.46 : 5,248.35 = 3,697.74 : x
  2. Step 2: Convert to fraction form
    3,788.46/5,248.35 = 3,697.74/x
  3. Step 3: Cross multiply
    3,788.46x = 5,248.35 × 3,697.74
  4. Step 4: Simplify right side
    3,788.46x = 19,407,033.73
  5. Step 5: Solve for x
    x = 19,407,033.73/3,788.46
  6. Step 6: Final answer
    x = 5,122.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.