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Finding the Fourth Proportional to 5,147.13, 7,720.01 and 1,449.65

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Solution

The fourth proportional to 5,147.13, 7,720.01 and 1,449.65 is: 2,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.13 : 7,720.01 = 1,449.65 : x
  2. Step 2: Convert to fraction form
    5,147.13/7,720.01 = 1,449.65/x
  3. Step 3: Cross multiply
    5,147.13x = 7,720.01 × 1,449.65
  4. Step 4: Simplify right side
    5,147.13x = 11,191,266.65
  5. Step 5: Solve for x
    x = 11,191,266.65/5,147.13
  6. Step 6: Final answer
    x = 2,174.28

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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.