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Finding the Fourth Proportional to 4,749.14, 7,125.25 and 2,284.14

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Solution

The fourth proportional to 4,749.14, 7,125.25 and 2,284.14 is: 3,426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.14 : 7,125.25 = 2,284.14 : x
  2. Step 2: Convert to fraction form
    4,749.14/7,125.25 = 2,284.14/x
  3. Step 3: Cross multiply
    4,749.14x = 7,125.25 × 2,284.14
  4. Step 4: Simplify right side
    4,749.14x = 16,275,062.82
  5. Step 5: Solve for x
    x = 16,275,062.82/4,749.14
  6. Step 6: Final answer
    x = 3,426.95

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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.