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Finding the Fourth Proportional to 5,024.35, 6,932.86 and 2,786.22

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Solution

The fourth proportional to 5,024.35, 6,932.86 and 2,786.22 is: 3,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.35 : 6,932.86 = 2,786.22 : x
  2. Step 2: Convert to fraction form
    5,024.35/6,932.86 = 2,786.22/x
  3. Step 3: Cross multiply
    5,024.35x = 6,932.86 × 2,786.22
  4. Step 4: Simplify right side
    5,024.35x = 19,316,473.19
  5. Step 5: Solve for x
    x = 19,316,473.19/5,024.35
  6. Step 6: Final answer
    x = 3,844.57

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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.