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Finding the Fourth Proportional to 5,024.94, 6,934.38 and 2,787.15

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Solution

The fourth proportional to 5,024.94, 6,934.38 and 2,787.15 is: 3,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.94 : 6,934.38 = 2,787.15 : x
  2. Step 2: Convert to fraction form
    5,024.94/6,934.38 = 2,787.15/x
  3. Step 3: Cross multiply
    5,024.94x = 6,934.38 × 2,787.15
  4. Step 4: Simplify right side
    5,024.94x = 19,327,157.22
  5. Step 5: Solve for x
    x = 19,327,157.22/5,024.94
  6. Step 6: Final answer
    x = 3,846.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.