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Finding the Fourth Proportional to 3,922.04, 5,883.02 and 1,186.04

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Solution

The fourth proportional to 3,922.04, 5,883.02 and 1,186.04 is: 1,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.04 : 5,883.02 = 1,186.04 : x
  2. Step 2: Convert to fraction form
    3,922.04/5,883.02 = 1,186.04/x
  3. Step 3: Cross multiply
    3,922.04x = 5,883.02 × 1,186.04
  4. Step 4: Simplify right side
    3,922.04x = 6,977,497.04
  5. Step 5: Solve for x
    x = 6,977,497.04/3,922.04
  6. Step 6: Final answer
    x = 1,779.05

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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.