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Finding the Fourth Proportional to 4,973.92, 7,462.44 and 2,053.60

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Solution

The fourth proportional to 4,973.92, 7,462.44 and 2,053.60 is: 3,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.92 : 7,462.44 = 2,053.60 : x
  2. Step 2: Convert to fraction form
    4,973.92/7,462.44 = 2,053.60/x
  3. Step 3: Cross multiply
    4,973.92x = 7,462.44 × 2,053.60
  4. Step 4: Simplify right side
    4,973.92x = 15,324,866.78
  5. Step 5: Solve for x
    x = 15,324,866.78/4,973.92
  6. Step 6: Final answer
    x = 3,081.04

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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.