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Finding the Fourth Proportional to 3,762.65, 5,638.30 and 3,352.52

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Solution

The fourth proportional to 3,762.65, 5,638.30 and 3,352.52 is: 5,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.65 : 5,638.30 = 3,352.52 : x
  2. Step 2: Convert to fraction form
    3,762.65/5,638.30 = 3,352.52/x
  3. Step 3: Cross multiply
    3,762.65x = 5,638.30 × 3,352.52
  4. Step 4: Simplify right side
    3,762.65x = 18,902,476.94
  5. Step 5: Solve for x
    x = 18,902,476.94/3,762.65
  6. Step 6: Final answer
    x = 5,023.72

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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.