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Finding the Fourth Proportional to 4,676.40, 6,999.30 and 4,244.67

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Solution

The fourth proportional to 4,676.40, 6,999.30 and 4,244.67 is: 6,353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.40 : 6,999.30 = 4,244.67 : x
  2. Step 2: Convert to fraction form
    4,676.40/6,999.30 = 4,244.67/x
  3. Step 3: Cross multiply
    4,676.40x = 6,999.30 × 4,244.67
  4. Step 4: Simplify right side
    4,676.40x = 29,709,718.73
  5. Step 5: Solve for x
    x = 29,709,718.73/4,676.40
  6. Step 6: Final answer
    x = 6,353.12

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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.