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Finding the Fourth Proportional to 5,234.54, 7,841.52 and 3,038.67

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Solution

The fourth proportional to 5,234.54, 7,841.52 and 3,038.67 is: 4,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.54 : 7,841.52 = 3,038.67 : x
  2. Step 2: Convert to fraction form
    5,234.54/7,841.52 = 3,038.67/x
  3. Step 3: Cross multiply
    5,234.54x = 7,841.52 × 3,038.67
  4. Step 4: Simplify right side
    5,234.54x = 23,827,791.58
  5. Step 5: Solve for x
    x = 23,827,791.58/5,234.54
  6. Step 6: Final answer
    x = 4,552.04

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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.