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Finding the Fourth Proportional to 5,024.76, 6,934.22 and 2,786.68

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Solution

The fourth proportional to 5,024.76, 6,934.22 and 2,786.68 is: 3,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.76 : 6,934.22 = 2,786.68 : x
  2. Step 2: Convert to fraction form
    5,024.76/6,934.22 = 2,786.68/x
  3. Step 3: Cross multiply
    5,024.76x = 6,934.22 × 2,786.68
  4. Step 4: Simplify right side
    5,024.76x = 19,323,452.19
  5. Step 5: Solve for x
    x = 19,323,452.19/5,024.76
  6. Step 6: Final answer
    x = 3,845.65

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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.