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Finding the Fourth Proportional to 5,295.45, 7,927.38 and 3,209.16

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Solution

The fourth proportional to 5,295.45, 7,927.38 and 3,209.16 is: 4,804.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.45 : 7,927.38 = 3,209.16 : x
  2. Step 2: Convert to fraction form
    5,295.45/7,927.38 = 3,209.16/x
  3. Step 3: Cross multiply
    5,295.45x = 7,927.38 × 3,209.16
  4. Step 4: Simplify right side
    5,295.45x = 25,440,230.80
  5. Step 5: Solve for x
    x = 25,440,230.80/5,295.45
  6. Step 6: Final answer
    x = 4,804.17

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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.