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Finding the Fourth Proportional to 5,471.76, 7,546.76 and 4,842.96

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Solution

The fourth proportional to 5,471.76, 7,546.76 and 4,842.96 is: 6,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.76 : 7,546.76 = 4,842.96 : x
  2. Step 2: Convert to fraction form
    5,471.76/7,546.76 = 4,842.96/x
  3. Step 3: Cross multiply
    5,471.76x = 7,546.76 × 4,842.96
  4. Step 4: Simplify right side
    5,471.76x = 36,548,656.81
  5. Step 5: Solve for x
    x = 36,548,656.81/5,471.76
  6. Step 6: Final answer
    x = 6,679.51

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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.