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Finding the Fourth Proportional to 4,093.32, 6,134.58 and 1,493.76

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Solution

The fourth proportional to 4,093.32, 6,134.58 and 1,493.76 is: 2,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.32 : 6,134.58 = 1,493.76 : x
  2. Step 2: Convert to fraction form
    4,093.32/6,134.58 = 1,493.76/x
  3. Step 3: Cross multiply
    4,093.32x = 6,134.58 × 1,493.76
  4. Step 4: Simplify right side
    4,093.32x = 9,163,590.22
  5. Step 5: Solve for x
    x = 9,163,590.22/4,093.32
  6. Step 6: Final answer
    x = 2,238.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.