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Finding the Fourth Proportional to 4,643.53, 6,405.94 and 2,964.09

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Solution

The fourth proportional to 4,643.53, 6,405.94 and 2,964.09 is: 4,089.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.53 : 6,405.94 = 2,964.09 : x
  2. Step 2: Convert to fraction form
    4,643.53/6,405.94 = 2,964.09/x
  3. Step 3: Cross multiply
    4,643.53x = 6,405.94 × 2,964.09
  4. Step 4: Simplify right side
    4,643.53x = 18,987,793.75
  5. Step 5: Solve for x
    x = 18,987,793.75/4,643.53
  6. Step 6: Final answer
    x = 4,089.09

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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.