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Finding the Fourth Proportional to 4,749.76, 7,125.02 and 1,462.84

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Solution

The fourth proportional to 4,749.76, 7,125.02 and 1,462.84 is: 2,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.76 : 7,125.02 = 1,462.84 : x
  2. Step 2: Convert to fraction form
    4,749.76/7,125.02 = 1,462.84/x
  3. Step 3: Cross multiply
    4,749.76x = 7,125.02 × 1,462.84
  4. Step 4: Simplify right side
    4,749.76x = 10,422,764.26
  5. Step 5: Solve for x
    x = 10,422,764.26/4,749.76
  6. Step 6: Final answer
    x = 2,194.38

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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.