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Finding the Fourth Proportional to 3,450.02, 5,175.02 and 1,501.76

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Solution

The fourth proportional to 3,450.02, 5,175.02 and 1,501.76 is: 2,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.02 : 5,175.02 = 1,501.76 : x
  2. Step 2: Convert to fraction form
    3,450.02/5,175.02 = 1,501.76/x
  3. Step 3: Cross multiply
    3,450.02x = 5,175.02 × 1,501.76
  4. Step 4: Simplify right side
    3,450.02x = 7,771,604.65
  5. Step 5: Solve for x
    x = 7,771,604.65/3,450.02
  6. Step 6: Final answer
    x = 2,252.63

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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.