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Finding the Fourth Proportional to 4,738.30, 7,072.36 and 4,446.46

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Solution

The fourth proportional to 4,738.30, 7,072.36 and 4,446.46 is: 6,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.30 : 7,072.36 = 4,446.46 : x
  2. Step 2: Convert to fraction form
    4,738.30/7,072.36 = 4,446.46/x
  3. Step 3: Cross multiply
    4,738.30x = 7,072.36 × 4,446.46
  4. Step 4: Simplify right side
    4,738.30x = 31,446,943.61
  5. Step 5: Solve for x
    x = 31,446,943.61/4,738.30
  6. Step 6: Final answer
    x = 6,636.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.