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Finding the Fourth Proportional to 5,644.52, 7,787.75 and 3,651.92

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Solution

The fourth proportional to 5,644.52, 7,787.75 and 3,651.92 is: 5,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.52 : 7,787.75 = 3,651.92 : x
  2. Step 2: Convert to fraction form
    5,644.52/7,787.75 = 3,651.92/x
  3. Step 3: Cross multiply
    5,644.52x = 7,787.75 × 3,651.92
  4. Step 4: Simplify right side
    5,644.52x = 28,440,268.58
  5. Step 5: Solve for x
    x = 28,440,268.58/5,644.52
  6. Step 6: Final answer
    x = 5,038.56

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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.