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Finding the Fourth Proportional to 5,787.88, 8,681.92 and 1,892.25

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Solution

The fourth proportional to 5,787.88, 8,681.92 and 1,892.25 is: 2,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.88 : 8,681.92 = 1,892.25 : x
  2. Step 2: Convert to fraction form
    5,787.88/8,681.92 = 1,892.25/x
  3. Step 3: Cross multiply
    5,787.88x = 8,681.92 × 1,892.25
  4. Step 4: Simplify right side
    5,787.88x = 16,428,358.39
  5. Step 5: Solve for x
    x = 16,428,358.39/5,787.88
  6. Step 6: Final answer
    x = 2,838.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.