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Finding the Fourth Proportional to 5,132.57, 7,701.83 and 2,792.82

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Solution

The fourth proportional to 5,132.57, 7,701.83 and 2,792.82 is: 4,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.57 : 7,701.83 = 2,792.82 : x
  2. Step 2: Convert to fraction form
    5,132.57/7,701.83 = 2,792.82/x
  3. Step 3: Cross multiply
    5,132.57x = 7,701.83 × 2,792.82
  4. Step 4: Simplify right side
    5,132.57x = 21,509,799.07
  5. Step 5: Solve for x
    x = 21,509,799.07/5,132.57
  6. Step 6: Final answer
    x = 4,190.84

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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.