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Finding the Fourth Proportional to 5,221.36, 7,206.74 and 3,230.72

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Solution

The fourth proportional to 5,221.36, 7,206.74 and 3,230.72 is: 4,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.36 : 7,206.74 = 3,230.72 : x
  2. Step 2: Convert to fraction form
    5,221.36/7,206.74 = 3,230.72/x
  3. Step 3: Cross multiply
    5,221.36x = 7,206.74 × 3,230.72
  4. Step 4: Simplify right side
    5,221.36x = 23,282,946.01
  5. Step 5: Solve for x
    x = 23,282,946.01/5,221.36
  6. Step 6: Final answer
    x = 4,459.17

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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.