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Finding the Fourth Proportional to 5,141.36, 7,709.88 and 2,020.88

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Solution

The fourth proportional to 5,141.36, 7,709.88 and 2,020.88 is: 3,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.36 : 7,709.88 = 2,020.88 : x
  2. Step 2: Convert to fraction form
    5,141.36/7,709.88 = 2,020.88/x
  3. Step 3: Cross multiply
    5,141.36x = 7,709.88 × 2,020.88
  4. Step 4: Simplify right side
    5,141.36x = 15,580,742.29
  5. Step 5: Solve for x
    x = 15,580,742.29/5,141.36
  6. Step 6: Final answer
    x = 3,030.47

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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.