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Finding the Fourth Proportional to 5,210.56, 7,809.66 and 2,744.11

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Solution

The fourth proportional to 5,210.56, 7,809.66 and 2,744.11 is: 4,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.56 : 7,809.66 = 2,744.11 : x
  2. Step 2: Convert to fraction form
    5,210.56/7,809.66 = 2,744.11/x
  3. Step 3: Cross multiply
    5,210.56x = 7,809.66 × 2,744.11
  4. Step 4: Simplify right side
    5,210.56x = 21,430,566.10
  5. Step 5: Solve for x
    x = 21,430,566.10/5,210.56
  6. Step 6: Final answer
    x = 4,112.91

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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.