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Finding the Fourth Proportional to 5,097.89, 7,661.28 and 3,018.29

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Solution

The fourth proportional to 5,097.89, 7,661.28 and 3,018.29 is: 4,535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.89 : 7,661.28 = 3,018.29 : x
  2. Step 2: Convert to fraction form
    5,097.89/7,661.28 = 3,018.29/x
  3. Step 3: Cross multiply
    5,097.89x = 7,661.28 × 3,018.29
  4. Step 4: Simplify right side
    5,097.89x = 23,123,926.50
  5. Step 5: Solve for x
    x = 23,123,926.50/5,097.89
  6. Step 6: Final answer
    x = 4,535.98

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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.