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Finding the Fourth Proportional to 3,762.34, 5,644.05 and 1,164.67

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Solution

The fourth proportional to 3,762.34, 5,644.05 and 1,164.67 is: 1,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.34 : 5,644.05 = 1,164.67 : x
  2. Step 2: Convert to fraction form
    3,762.34/5,644.05 = 1,164.67/x
  3. Step 3: Cross multiply
    3,762.34x = 5,644.05 × 1,164.67
  4. Step 4: Simplify right side
    3,762.34x = 6,573,455.71
  5. Step 5: Solve for x
    x = 6,573,455.71/3,762.34
  6. Step 6: Final answer
    x = 1,747.17

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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.