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Finding the Fourth Proportional to 4,733.04, 7,094.54 and 2,262.64

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Solution

The fourth proportional to 4,733.04, 7,094.54 and 2,262.64 is: 3,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.04 : 7,094.54 = 2,262.64 : x
  2. Step 2: Convert to fraction form
    4,733.04/7,094.54 = 2,262.64/x
  3. Step 3: Cross multiply
    4,733.04x = 7,094.54 × 2,262.64
  4. Step 4: Simplify right side
    4,733.04x = 16,052,389.99
  5. Step 5: Solve for x
    x = 16,052,389.99/4,733.04
  6. Step 6: Final answer
    x = 3,391.56

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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.