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Finding the Fourth Proportional to 3,804, 5,697.04 and 3,191.64

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Solution

The fourth proportional to 3,804, 5,697.04 and 3,191.64 is: 4,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804 : 5,697.04 = 3,191.64 : x
  2. Step 2: Convert to fraction form
    3,804/5,697.04 = 3,191.64/x
  3. Step 3: Cross multiply
    3,804x = 5,697.04 × 3,191.64
  4. Step 4: Simplify right side
    3,804x = 18,182,900.75
  5. Step 5: Solve for x
    x = 18,182,900.75/3,804
  6. Step 6: Final answer
    x = 4,779.94

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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.