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Finding the Fourth Proportional to 5,302.65, 7,953.92 and 3,223.23

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Solution

The fourth proportional to 5,302.65, 7,953.92 and 3,223.23 is: 4,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.65 : 7,953.92 = 3,223.23 : x
  2. Step 2: Convert to fraction form
    5,302.65/7,953.92 = 3,223.23/x
  3. Step 3: Cross multiply
    5,302.65x = 7,953.92 × 3,223.23
  4. Step 4: Simplify right side
    5,302.65x = 25,637,297.45
  5. Step 5: Solve for x
    x = 25,637,297.45/5,302.65
  6. Step 6: Final answer
    x = 4,834.81

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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.