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Finding the Fourth Proportional to 5,287.89, 7,295.64 and 3,049.47

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Solution

The fourth proportional to 5,287.89, 7,295.64 and 3,049.47 is: 4,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.89 : 7,295.64 = 3,049.47 : x
  2. Step 2: Convert to fraction form
    5,287.89/7,295.64 = 3,049.47/x
  3. Step 3: Cross multiply
    5,287.89x = 7,295.64 × 3,049.47
  4. Step 4: Simplify right side
    5,287.89x = 22,247,835.31
  5. Step 5: Solve for x
    x = 22,247,835.31/5,287.89
  6. Step 6: Final answer
    x = 4,207.32

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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.