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Finding the Fourth Proportional to 4,643.53, 6,405.38 and 2,873.88

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Solution

The fourth proportional to 4,643.53, 6,405.38 and 2,873.88 is: 3,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.53 : 6,405.38 = 2,873.88 : x
  2. Step 2: Convert to fraction form
    4,643.53/6,405.38 = 2,873.88/x
  3. Step 3: Cross multiply
    4,643.53x = 6,405.38 × 2,873.88
  4. Step 4: Simplify right side
    4,643.53x = 18,408,289.88
  5. Step 5: Solve for x
    x = 18,408,289.88/4,643.53
  6. Step 6: Final answer
    x = 3,964.29

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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.