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Finding the Fourth Proportional to 4,978.54, 7,462.11 and 2,053.24

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Solution

The fourth proportional to 4,978.54, 7,462.11 and 2,053.24 is: 3,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.54 : 7,462.11 = 2,053.24 : x
  2. Step 2: Convert to fraction form
    4,978.54/7,462.11 = 2,053.24/x
  3. Step 3: Cross multiply
    4,978.54x = 7,462.11 × 2,053.24
  4. Step 4: Simplify right side
    4,978.54x = 15,321,502.74
  5. Step 5: Solve for x
    x = 15,321,502.74/4,978.54
  6. Step 6: Final answer
    x = 3,077.51

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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.