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Finding the Fourth Proportional to 5,189.51, 7,159.98 and 3,065.24

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Solution

The fourth proportional to 5,189.51, 7,159.98 and 3,065.24 is: 4,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.51 : 7,159.98 = 3,065.24 : x
  2. Step 2: Convert to fraction form
    5,189.51/7,159.98 = 3,065.24/x
  3. Step 3: Cross multiply
    5,189.51x = 7,159.98 × 3,065.24
  4. Step 4: Simplify right side
    5,189.51x = 21,947,021.30
  5. Step 5: Solve for x
    x = 21,947,021.30/5,189.51
  6. Step 6: Final answer
    x = 4,229.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.