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Finding the Fourth Proportional to 3,898.62, 5,849.31 and 2,436.06

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Solution

The fourth proportional to 3,898.62, 5,849.31 and 2,436.06 is: 3,654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.62 : 5,849.31 = 2,436.06 : x
  2. Step 2: Convert to fraction form
    3,898.62/5,849.31 = 2,436.06/x
  3. Step 3: Cross multiply
    3,898.62x = 5,849.31 × 2,436.06
  4. Step 4: Simplify right side
    3,898.62x = 14,249,270.12
  5. Step 5: Solve for x
    x = 14,249,270.12/3,898.62
  6. Step 6: Final answer
    x = 3,654.95

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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.