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Finding the Fourth Proportional to 5,368.24, 8,047.88 and 3,728

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Solution

The fourth proportional to 5,368.24, 8,047.88 and 3,728 is: 5,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.24 : 8,047.88 = 3,728 : x
  2. Step 2: Convert to fraction form
    5,368.24/8,047.88 = 3,728/x
  3. Step 3: Cross multiply
    5,368.24x = 8,047.88 × 3,728
  4. Step 4: Simplify right side
    5,368.24x = 30,002,496.64
  5. Step 5: Solve for x
    x = 30,002,496.64/5,368.24
  6. Step 6: Final answer
    x = 5,588.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.