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Finding the Fourth Proportional to 4,477.48, 6,179.34 and 2,709.52

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Solution

The fourth proportional to 4,477.48, 6,179.34 and 2,709.52 is: 3,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.48 : 6,179.34 = 2,709.52 : x
  2. Step 2: Convert to fraction form
    4,477.48/6,179.34 = 2,709.52/x
  3. Step 3: Cross multiply
    4,477.48x = 6,179.34 × 2,709.52
  4. Step 4: Simplify right side
    4,477.48x = 16,743,045.32
  5. Step 5: Solve for x
    x = 16,743,045.32/4,477.48
  6. Step 6: Final answer
    x = 3,739.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.