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Finding the Fourth Proportional to 5,219.40, 7,828.56 and 1,756.56

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Solution

The fourth proportional to 5,219.40, 7,828.56 and 1,756.56 is: 2,634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.40 : 7,828.56 = 1,756.56 : x
  2. Step 2: Convert to fraction form
    5,219.40/7,828.56 = 1,756.56/x
  3. Step 3: Cross multiply
    5,219.40x = 7,828.56 × 1,756.56
  4. Step 4: Simplify right side
    5,219.40x = 13,751,335.35
  5. Step 5: Solve for x
    x = 13,751,335.35/5,219.40
  6. Step 6: Final answer
    x = 2,634.66

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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.