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Finding the Fourth Proportional to 4,964.92, 7,448.29 and 2,041.63

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Solution

The fourth proportional to 4,964.92, 7,448.29 and 2,041.63 is: 3,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.92 : 7,448.29 = 2,041.63 : x
  2. Step 2: Convert to fraction form
    4,964.92/7,448.29 = 2,041.63/x
  3. Step 3: Cross multiply
    4,964.92x = 7,448.29 × 2,041.63
  4. Step 4: Simplify right side
    4,964.92x = 15,206,628.59
  5. Step 5: Solve for x
    x = 15,206,628.59/4,964.92
  6. Step 6: Final answer
    x = 3,062.82

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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.