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Finding the Fourth Proportional to 5,932.56, 8,893.08 and 2,470.80

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Solution

The fourth proportional to 5,932.56, 8,893.08 and 2,470.80 is: 3,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.56 : 8,893.08 = 2,470.80 : x
  2. Step 2: Convert to fraction form
    5,932.56/8,893.08 = 2,470.80/x
  3. Step 3: Cross multiply
    5,932.56x = 8,893.08 × 2,470.80
  4. Step 4: Simplify right side
    5,932.56x = 21,973,022.06
  5. Step 5: Solve for x
    x = 21,973,022.06/5,932.56
  6. Step 6: Final answer
    x = 3,703.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.