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Finding the Fourth Proportional to 5,168.65, 7,731.09 and 3,506.53

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Solution

The fourth proportional to 5,168.65, 7,731.09 and 3,506.53 is: 5,244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.65 : 7,731.09 = 3,506.53 : x
  2. Step 2: Convert to fraction form
    5,168.65/7,731.09 = 3,506.53/x
  3. Step 3: Cross multiply
    5,168.65x = 7,731.09 × 3,506.53
  4. Step 4: Simplify right side
    5,168.65x = 27,109,299.02
  5. Step 5: Solve for x
    x = 27,109,299.02/5,168.65
  6. Step 6: Final answer
    x = 5,244.95

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Why These Related Problems?

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