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Finding the Fourth Proportional to 3,097.83, 4,647.96 and 2,057.79

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Solution

The fourth proportional to 3,097.83, 4,647.96 and 2,057.79 is: 3,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.83 : 4,647.96 = 2,057.79 : x
  2. Step 2: Convert to fraction form
    3,097.83/4,647.96 = 2,057.79/x
  3. Step 3: Cross multiply
    3,097.83x = 4,647.96 × 2,057.79
  4. Step 4: Simplify right side
    3,097.83x = 9,564,525.61
  5. Step 5: Solve for x
    x = 9,564,525.61/3,097.83
  6. Step 6: Final answer
    x = 3,087.49

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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.