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Finding the Fourth Proportional to 4,294.96, 5,927.27 and 2,406.43

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Solution

The fourth proportional to 4,294.96, 5,927.27 and 2,406.43 is: 3,321.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.96 : 5,927.27 = 2,406.43 : x
  2. Step 2: Convert to fraction form
    4,294.96/5,927.27 = 2,406.43/x
  3. Step 3: Cross multiply
    4,294.96x = 5,927.27 × 2,406.43
  4. Step 4: Simplify right side
    4,294.96x = 14,263,560.35
  5. Step 5: Solve for x
    x = 14,263,560.35/4,294.96
  6. Step 6: Final answer
    x = 3,321.00

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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.