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Finding the Fourth Proportional to 4,804.72, 7,189.10 and 3,421.24

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Solution

The fourth proportional to 4,804.72, 7,189.10 and 3,421.24 is: 5,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.72 : 7,189.10 = 3,421.24 : x
  2. Step 2: Convert to fraction form
    4,804.72/7,189.10 = 3,421.24/x
  3. Step 3: Cross multiply
    4,804.72x = 7,189.10 × 3,421.24
  4. Step 4: Simplify right side
    4,804.72x = 24,595,636.48
  5. Step 5: Solve for x
    x = 24,595,636.48/4,804.72
  6. Step 6: Final answer
    x = 5,119.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.