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Finding the Fourth Proportional to 5,579.64, 7,707.48 and 4,468.56

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Solution

The fourth proportional to 5,579.64, 7,707.48 and 4,468.56 is: 6,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.64 : 7,707.48 = 4,468.56 : x
  2. Step 2: Convert to fraction form
    5,579.64/7,707.48 = 4,468.56/x
  3. Step 3: Cross multiply
    5,579.64x = 7,707.48 × 4,468.56
  4. Step 4: Simplify right side
    5,579.64x = 34,441,336.83
  5. Step 5: Solve for x
    x = 34,441,336.83/5,579.64
  6. Step 6: Final answer
    x = 6,172.68

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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.