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Finding the Fourth Proportional to 5,628.87, 8,430.62 and 2,709.36

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Solution

The fourth proportional to 5,628.87, 8,430.62 and 2,709.36 is: 4,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.87 : 8,430.62 = 2,709.36 : x
  2. Step 2: Convert to fraction form
    5,628.87/8,430.62 = 2,709.36/x
  3. Step 3: Cross multiply
    5,628.87x = 8,430.62 × 2,709.36
  4. Step 4: Simplify right side
    5,628.87x = 22,841,571.06
  5. Step 5: Solve for x
    x = 22,841,571.06/5,628.87
  6. Step 6: Final answer
    x = 4,057.93

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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.