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Finding the Fourth Proportional to 3,695.94, 5,097.06 and 2,855.38

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Solution

The fourth proportional to 3,695.94, 5,097.06 and 2,855.38 is: 3,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.94 : 5,097.06 = 2,855.38 : x
  2. Step 2: Convert to fraction form
    3,695.94/5,097.06 = 2,855.38/x
  3. Step 3: Cross multiply
    3,695.94x = 5,097.06 × 2,855.38
  4. Step 4: Simplify right side
    3,695.94x = 14,554,043.18
  5. Step 5: Solve for x
    x = 14,554,043.18/3,695.94
  6. Step 6: Final answer
    x = 3,937.85

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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.