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Finding the Fourth Proportional to 5,448, 8,159.01 and 3,134.64

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Solution

The fourth proportional to 5,448, 8,159.01 and 3,134.64 is: 4,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448 : 8,159.01 = 3,134.64 : x
  2. Step 2: Convert to fraction form
    5,448/8,159.01 = 3,134.64/x
  3. Step 3: Cross multiply
    5,448x = 8,159.01 × 3,134.64
  4. Step 4: Simplify right side
    5,448x = 25,575,559.11
  5. Step 5: Solve for x
    x = 25,575,559.11/5,448
  6. Step 6: Final answer
    x = 4,694.49

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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.