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Finding the Fourth Proportional to 4,676.42, 7,014.68 and 1,213.67

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Solution

The fourth proportional to 4,676.42, 7,014.68 and 1,213.67 is: 1,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.42 : 7,014.68 = 1,213.67 : x
  2. Step 2: Convert to fraction form
    4,676.42/7,014.68 = 1,213.67/x
  3. Step 3: Cross multiply
    4,676.42x = 7,014.68 × 1,213.67
  4. Step 4: Simplify right side
    4,676.42x = 8,513,500.61
  5. Step 5: Solve for x
    x = 8,513,500.61/4,676.42
  6. Step 6: Final answer
    x = 1,820.52

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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.