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Finding the Fourth Proportional to 4,841.52, 6,684.72 and 3,780.48

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Solution

The fourth proportional to 4,841.52, 6,684.72 and 3,780.48 is: 5,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.52 : 6,684.72 = 3,780.48 : x
  2. Step 2: Convert to fraction form
    4,841.52/6,684.72 = 3,780.48/x
  3. Step 3: Cross multiply
    4,841.52x = 6,684.72 × 3,780.48
  4. Step 4: Simplify right side
    4,841.52x = 25,271,450.27
  5. Step 5: Solve for x
    x = 25,271,450.27/4,841.52
  6. Step 6: Final answer
    x = 5,219.73

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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.