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Finding the Fourth Proportional to 5,024.77, 6,934.05 and 2,786.64

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Solution

The fourth proportional to 5,024.77, 6,934.05 and 2,786.64 is: 3,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.77 : 6,934.05 = 2,786.64 : x
  2. Step 2: Convert to fraction form
    5,024.77/6,934.05 = 2,786.64/x
  3. Step 3: Cross multiply
    5,024.77x = 6,934.05 × 2,786.64
  4. Step 4: Simplify right side
    5,024.77x = 19,322,701.09
  5. Step 5: Solve for x
    x = 19,322,701.09/5,024.77
  6. Step 6: Final answer
    x = 3,845.49

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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.