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Finding the Fourth Proportional to 5,097.09, 7,644.81 and 1,765.89

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Solution

The fourth proportional to 5,097.09, 7,644.81 and 1,765.89 is: 2,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.09 : 7,644.81 = 1,765.89 : x
  2. Step 2: Convert to fraction form
    5,097.09/7,644.81 = 1,765.89/x
  3. Step 3: Cross multiply
    5,097.09x = 7,644.81 × 1,765.89
  4. Step 4: Simplify right side
    5,097.09x = 13,499,893.53
  5. Step 5: Solve for x
    x = 13,499,893.53/5,097.09
  6. Step 6: Final answer
    x = 2,648.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.