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Finding the Fourth Proportional to 4,679.40, 6,985.89 and 4,161

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Solution

The fourth proportional to 4,679.40, 6,985.89 and 4,161 is: 6,211.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.40 : 6,985.89 = 4,161 : x
  2. Step 2: Convert to fraction form
    4,679.40/6,985.89 = 4,161/x
  3. Step 3: Cross multiply
    4,679.40x = 6,985.89 × 4,161
  4. Step 4: Simplify right side
    4,679.40x = 29,068,288.29
  5. Step 5: Solve for x
    x = 29,068,288.29/4,679.40
  6. Step 6: Final answer
    x = 6,211.97

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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.