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Finding the Fourth Proportional to 4,462, 6,157.56 and 2,599

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Solution

The fourth proportional to 4,462, 6,157.56 and 2,599 is: 3,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462 : 6,157.56 = 2,599 : x
  2. Step 2: Convert to fraction form
    4,462/6,157.56 = 2,599/x
  3. Step 3: Cross multiply
    4,462x = 6,157.56 × 2,599
  4. Step 4: Simplify right side
    4,462x = 16,003,498.44
  5. Step 5: Solve for x
    x = 16,003,498.44/4,462
  6. Step 6: Final answer
    x = 3,586.62

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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.