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Finding the Fourth Proportional to 5,230.36, 7,203.90 and 4,814.83

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Solution

The fourth proportional to 5,230.36, 7,203.90 and 4,814.83 is: 6,631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.36 : 7,203.90 = 4,814.83 : x
  2. Step 2: Convert to fraction form
    5,230.36/7,203.90 = 4,814.83/x
  3. Step 3: Cross multiply
    5,230.36x = 7,203.90 × 4,814.83
  4. Step 4: Simplify right side
    5,230.36x = 34,685,553.84
  5. Step 5: Solve for x
    x = 34,685,553.84/5,230.36
  6. Step 6: Final answer
    x = 6,631.58

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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.