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Finding the Fourth Proportional to 3,877.22, 5,816.03 and 1,104.09

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Solution

The fourth proportional to 3,877.22, 5,816.03 and 1,104.09 is: 1,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.22 : 5,816.03 = 1,104.09 : x
  2. Step 2: Convert to fraction form
    3,877.22/5,816.03 = 1,104.09/x
  3. Step 3: Cross multiply
    3,877.22x = 5,816.03 × 1,104.09
  4. Step 4: Simplify right side
    3,877.22x = 6,421,400.50
  5. Step 5: Solve for x
    x = 6,421,400.50/3,877.22
  6. Step 6: Final answer
    x = 1,656.19

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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.