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Finding the Fourth Proportional to 4,757.70, 6,565.49 and 2,633.32

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Solution

The fourth proportional to 4,757.70, 6,565.49 and 2,633.32 is: 3,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.70 : 6,565.49 = 2,633.32 : x
  2. Step 2: Convert to fraction form
    4,757.70/6,565.49 = 2,633.32/x
  3. Step 3: Cross multiply
    4,757.70x = 6,565.49 × 2,633.32
  4. Step 4: Simplify right side
    4,757.70x = 17,289,021.36
  5. Step 5: Solve for x
    x = 17,289,021.36/4,757.70
  6. Step 6: Final answer
    x = 3,633.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.