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Finding the Fourth Proportional to 4,098.01, 5,654.40 and 2,605.38

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Solution

The fourth proportional to 4,098.01, 5,654.40 and 2,605.38 is: 3,594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.01 : 5,654.40 = 2,605.38 : x
  2. Step 2: Convert to fraction form
    4,098.01/5,654.40 = 2,605.38/x
  3. Step 3: Cross multiply
    4,098.01x = 5,654.40 × 2,605.38
  4. Step 4: Simplify right side
    4,098.01x = 14,731,860.67
  5. Step 5: Solve for x
    x = 14,731,860.67/4,098.01
  6. Step 6: Final answer
    x = 3,594.89

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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.