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Finding the Fourth Proportional to 4,098.53, 5,654.99 and 2,505.06

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Solution

The fourth proportional to 4,098.53, 5,654.99 and 2,505.06 is: 3,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.53 : 5,654.99 = 2,505.06 : x
  2. Step 2: Convert to fraction form
    4,098.53/5,654.99 = 2,505.06/x
  3. Step 3: Cross multiply
    4,098.53x = 5,654.99 × 2,505.06
  4. Step 4: Simplify right side
    4,098.53x = 14,166,076.72
  5. Step 5: Solve for x
    x = 14,166,076.72/4,098.53
  6. Step 6: Final answer
    x = 3,456.38

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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.