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Finding the Fourth Proportional to 5,733.88, 7,914.16 and 3,497

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Solution

The fourth proportional to 5,733.88, 7,914.16 and 3,497 is: 4,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.88 : 7,914.16 = 3,497 : x
  2. Step 2: Convert to fraction form
    5,733.88/7,914.16 = 3,497/x
  3. Step 3: Cross multiply
    5,733.88x = 7,914.16 × 3,497
  4. Step 4: Simplify right side
    5,733.88x = 27,675,817.52
  5. Step 5: Solve for x
    x = 27,675,817.52/5,733.88
  6. Step 6: Final answer
    x = 4,826.72

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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.