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Finding the Fourth Proportional to 4,696.25, 7,044.33 and 4,462.67

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Solution

The fourth proportional to 4,696.25, 7,044.33 and 4,462.67 is: 6,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.25 : 7,044.33 = 4,462.67 : x
  2. Step 2: Convert to fraction form
    4,696.25/7,044.33 = 4,462.67/x
  3. Step 3: Cross multiply
    4,696.25x = 7,044.33 × 4,462.67
  4. Step 4: Simplify right side
    4,696.25x = 31,436,520.16
  5. Step 5: Solve for x
    x = 31,436,520.16/4,696.25
  6. Step 6: Final answer
    x = 6,693.96

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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.