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Finding the Fourth Proportional to 4,071.76, 5,618.64 and 3,234.49

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Solution

The fourth proportional to 4,071.76, 5,618.64 and 3,234.49 is: 4,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.76 : 5,618.64 = 3,234.49 : x
  2. Step 2: Convert to fraction form
    4,071.76/5,618.64 = 3,234.49/x
  3. Step 3: Cross multiply
    4,071.76x = 5,618.64 × 3,234.49
  4. Step 4: Simplify right side
    4,071.76x = 18,173,434.89
  5. Step 5: Solve for x
    x = 18,173,434.89/4,071.76
  6. Step 6: Final answer
    x = 4,463.29

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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.