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Finding the Fourth Proportional to 4,611.92, 6,359.64 and 3,038

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Solution

The fourth proportional to 4,611.92, 6,359.64 and 3,038 is: 4,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.92 : 6,359.64 = 3,038 : x
  2. Step 2: Convert to fraction form
    4,611.92/6,359.64 = 3,038/x
  3. Step 3: Cross multiply
    4,611.92x = 6,359.64 × 3,038
  4. Step 4: Simplify right side
    4,611.92x = 19,320,586.32
  5. Step 5: Solve for x
    x = 19,320,586.32/4,611.92
  6. Step 6: Final answer
    x = 4,189.27

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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.