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Finding the Fourth Proportional to 5,644.08, 7,788.84 and 3,091.80

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Solution

The fourth proportional to 5,644.08, 7,788.84 and 3,091.80 is: 4,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.08 : 7,788.84 = 3,091.80 : x
  2. Step 2: Convert to fraction form
    5,644.08/7,788.84 = 3,091.80/x
  3. Step 3: Cross multiply
    5,644.08x = 7,788.84 × 3,091.80
  4. Step 4: Simplify right side
    5,644.08x = 24,081,535.51
  5. Step 5: Solve for x
    x = 24,081,535.51/5,644.08
  6. Step 6: Final answer
    x = 4,266.69

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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.