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Finding the Fourth Proportional to 5,796.78, 7,998.39 and 3,673.14

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Solution

The fourth proportional to 5,796.78, 7,998.39 and 3,673.14 is: 5,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.78 : 7,998.39 = 3,673.14 : x
  2. Step 2: Convert to fraction form
    5,796.78/7,998.39 = 3,673.14/x
  3. Step 3: Cross multiply
    5,796.78x = 7,998.39 × 3,673.14
  4. Step 4: Simplify right side
    5,796.78x = 29,379,206.24
  5. Step 5: Solve for x
    x = 29,379,206.24/5,796.78
  6. Step 6: Final answer
    x = 5,068.19

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1.5x scale

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.