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Finding the Fourth Proportional to 4,837, 6,676.49 and 3,158.67

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Solution

The fourth proportional to 4,837, 6,676.49 and 3,158.67 is: 4,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837 : 6,676.49 = 3,158.67 : x
  2. Step 2: Convert to fraction form
    4,837/6,676.49 = 3,158.67/x
  3. Step 3: Cross multiply
    4,837x = 6,676.49 × 3,158.67
  4. Step 4: Simplify right side
    4,837x = 21,088,828.67
  5. Step 5: Solve for x
    x = 21,088,828.67/4,837
  6. Step 6: Final answer
    x = 4,359.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.