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Finding the Fourth Proportional to 5,006.96, 7,516.80 and 4,084.32

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Solution

The fourth proportional to 5,006.96, 7,516.80 and 4,084.32 is: 6,131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.96 : 7,516.80 = 4,084.32 : x
  2. Step 2: Convert to fraction form
    5,006.96/7,516.80 = 4,084.32/x
  3. Step 3: Cross multiply
    5,006.96x = 7,516.80 × 4,084.32
  4. Step 4: Simplify right side
    5,006.96x = 30,701,016.58
  5. Step 5: Solve for x
    x = 30,701,016.58/5,006.96
  6. Step 6: Final answer
    x = 6,131.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.