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Finding the Fourth Proportional to 5,287.28, 7,309.44 and 5,237.46

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Solution

The fourth proportional to 5,287.28, 7,309.44 and 5,237.46 is: 7,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.28 : 7,309.44 = 5,237.46 : x
  2. Step 2: Convert to fraction form
    5,287.28/7,309.44 = 5,237.46/x
  3. Step 3: Cross multiply
    5,287.28x = 7,309.44 × 5,237.46
  4. Step 4: Simplify right side
    5,287.28x = 38,282,899.62
  5. Step 5: Solve for x
    x = 38,282,899.62/5,287.28
  6. Step 6: Final answer
    x = 7,240.57

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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.