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Finding the Fourth Proportional to 5,228.16, 7,215.04 and 3,238.88

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Solution

The fourth proportional to 5,228.16, 7,215.04 and 3,238.88 is: 4,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.16 : 7,215.04 = 3,238.88 : x
  2. Step 2: Convert to fraction form
    5,228.16/7,215.04 = 3,238.88/x
  3. Step 3: Cross multiply
    5,228.16x = 7,215.04 × 3,238.88
  4. Step 4: Simplify right side
    5,228.16x = 23,368,648.76
  5. Step 5: Solve for x
    x = 23,368,648.76/5,228.16
  6. Step 6: Final answer
    x = 4,469.77

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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.