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Finding the Fourth Proportional to 5,190.57, 7,813.56 and 4,654.75

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Solution

The fourth proportional to 5,190.57, 7,813.56 and 4,654.75 is: 7,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.57 : 7,813.56 = 4,654.75 : x
  2. Step 2: Convert to fraction form
    5,190.57/7,813.56 = 4,654.75/x
  3. Step 3: Cross multiply
    5,190.57x = 7,813.56 × 4,654.75
  4. Step 4: Simplify right side
    5,190.57x = 36,370,168.41
  5. Step 5: Solve for x
    x = 36,370,168.41/5,190.57
  6. Step 6: Final answer
    x = 7,006.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.