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Finding the Fourth Proportional to 4,738.34, 6,530.82 and 3,243.62

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Solution

The fourth proportional to 4,738.34, 6,530.82 and 3,243.62 is: 4,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.34 : 6,530.82 = 3,243.62 : x
  2. Step 2: Convert to fraction form
    4,738.34/6,530.82 = 3,243.62/x
  3. Step 3: Cross multiply
    4,738.34x = 6,530.82 × 3,243.62
  4. Step 4: Simplify right side
    4,738.34x = 21,183,498.37
  5. Step 5: Solve for x
    x = 21,183,498.37/4,738.34
  6. Step 6: Final answer
    x = 4,470.66

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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.