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Finding the Fourth Proportional to 4,736.75, 7,106.13 and 1,449.72

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Solution

The fourth proportional to 4,736.75, 7,106.13 and 1,449.72 is: 2,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.75 : 7,106.13 = 1,449.72 : x
  2. Step 2: Convert to fraction form
    4,736.75/7,106.13 = 1,449.72/x
  3. Step 3: Cross multiply
    4,736.75x = 7,106.13 × 1,449.72
  4. Step 4: Simplify right side
    4,736.75x = 10,301,898.78
  5. Step 5: Solve for x
    x = 10,301,898.78/4,736.75
  6. Step 6: Final answer
    x = 2,174.89

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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.