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Finding the Fourth Proportional to 5,059.70, 6,979.73 and 4,116.54

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Solution

The fourth proportional to 5,059.70, 6,979.73 and 4,116.54 is: 5,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.70 : 6,979.73 = 4,116.54 : x
  2. Step 2: Convert to fraction form
    5,059.70/6,979.73 = 4,116.54/x
  3. Step 3: Cross multiply
    5,059.70x = 6,979.73 × 4,116.54
  4. Step 4: Simplify right side
    5,059.70x = 28,732,317.15
  5. Step 5: Solve for x
    x = 28,732,317.15/5,059.70
  6. Step 6: Final answer
    x = 5,678.67

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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.