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Finding the Fourth Proportional to 5,302.80, 7,950.15 and 3,222.36

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Solution

The fourth proportional to 5,302.80, 7,950.15 and 3,222.36 is: 4,831.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.80 : 7,950.15 = 3,222.36 : x
  2. Step 2: Convert to fraction form
    5,302.80/7,950.15 = 3,222.36/x
  3. Step 3: Cross multiply
    5,302.80x = 7,950.15 × 3,222.36
  4. Step 4: Simplify right side
    5,302.80x = 25,618,245.35
  5. Step 5: Solve for x
    x = 25,618,245.35/5,302.80
  6. Step 6: Final answer
    x = 4,831.08

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