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Finding the Fourth Proportional to 5,097.33, 7,644.61 and 1,398.69

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Solution

The fourth proportional to 5,097.33, 7,644.61 and 1,398.69 is: 2,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.33 : 7,644.61 = 1,398.69 : x
  2. Step 2: Convert to fraction form
    5,097.33/7,644.61 = 1,398.69/x
  3. Step 3: Cross multiply
    5,097.33x = 7,644.61 × 1,398.69
  4. Step 4: Simplify right side
    5,097.33x = 10,692,401.34
  5. Step 5: Solve for x
    x = 10,692,401.34/5,097.33
  6. Step 6: Final answer
    x = 2,097.65

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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.