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Finding the Fourth Proportional to 3,695.33, 5,098.46 and 2,366.73

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Solution

The fourth proportional to 3,695.33, 5,098.46 and 2,366.73 is: 3,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.33 : 5,098.46 = 2,366.73 : x
  2. Step 2: Convert to fraction form
    3,695.33/5,098.46 = 2,366.73/x
  3. Step 3: Cross multiply
    3,695.33x = 5,098.46 × 2,366.73
  4. Step 4: Simplify right side
    3,695.33x = 12,066,666.40
  5. Step 5: Solve for x
    x = 12,066,666.40/3,695.33
  6. Step 6: Final answer
    x = 3,265.39

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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.