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Finding the Fourth Proportional to 4,911.64, 6,772.97 and 3,792.76

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Solution

The fourth proportional to 4,911.64, 6,772.97 and 3,792.76 is: 5,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.64 : 6,772.97 = 3,792.76 : x
  2. Step 2: Convert to fraction form
    4,911.64/6,772.97 = 3,792.76/x
  3. Step 3: Cross multiply
    4,911.64x = 6,772.97 × 3,792.76
  4. Step 4: Simplify right side
    4,911.64x = 25,688,249.70
  5. Step 5: Solve for x
    x = 25,688,249.70/4,911.64
  6. Step 6: Final answer
    x = 5,230.08

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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.