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Finding the Fourth Proportional to 5,295.40, 7,305.86 and 3,305.23

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Solution

The fourth proportional to 5,295.40, 7,305.86 and 3,305.23 is: 4,560.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.40 : 7,305.86 = 3,305.23 : x
  2. Step 2: Convert to fraction form
    5,295.40/7,305.86 = 3,305.23/x
  3. Step 3: Cross multiply
    5,295.40x = 7,305.86 × 3,305.23
  4. Step 4: Simplify right side
    5,295.40x = 24,147,537.65
  5. Step 5: Solve for x
    x = 24,147,537.65/5,295.40
  6. Step 6: Final answer
    x = 4,560.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.