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Finding the Fourth Proportional to 4,659, 6,429.42 and 2,563.20

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Solution

The fourth proportional to 4,659, 6,429.42 and 2,563.20 is: 3,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659 : 6,429.42 = 2,563.20 : x
  2. Step 2: Convert to fraction form
    4,659/6,429.42 = 2,563.20/x
  3. Step 3: Cross multiply
    4,659x = 6,429.42 × 2,563.20
  4. Step 4: Simplify right side
    4,659x = 16,479,889.34
  5. Step 5: Solve for x
    x = 16,479,889.34/4,659
  6. Step 6: Final answer
    x = 3,537.22

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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.