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Finding the Fourth Proportional to 3,762.29, 5,644.34 and 1,165.22

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Solution

The fourth proportional to 3,762.29, 5,644.34 and 1,165.22 is: 1,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.29 : 5,644.34 = 1,165.22 : x
  2. Step 2: Convert to fraction form
    3,762.29/5,644.34 = 1,165.22/x
  3. Step 3: Cross multiply
    3,762.29x = 5,644.34 × 1,165.22
  4. Step 4: Simplify right side
    3,762.29x = 6,576,863.81
  5. Step 5: Solve for x
    x = 6,576,863.81/3,762.29
  6. Step 6: Final answer
    x = 1,748.10

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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.