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Finding the Fourth Proportional to 4,748.64, 6,553.74 and 2,759.80

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Solution

The fourth proportional to 4,748.64, 6,553.74 and 2,759.80 is: 3,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.64 : 6,553.74 = 2,759.80 : x
  2. Step 2: Convert to fraction form
    4,748.64/6,553.74 = 2,759.80/x
  3. Step 3: Cross multiply
    4,748.64x = 6,553.74 × 2,759.80
  4. Step 4: Simplify right side
    4,748.64x = 18,087,011.65
  5. Step 5: Solve for x
    x = 18,087,011.65/4,748.64
  6. Step 6: Final answer
    x = 3,808.88

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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.