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Finding the Fourth Proportional to 4,758.53, 6,566.90 and 2,662.65

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Solution

The fourth proportional to 4,758.53, 6,566.90 and 2,662.65 is: 3,674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.53 : 6,566.90 = 2,662.65 : x
  2. Step 2: Convert to fraction form
    4,758.53/6,566.90 = 2,662.65/x
  3. Step 3: Cross multiply
    4,758.53x = 6,566.90 × 2,662.65
  4. Step 4: Simplify right side
    4,758.53x = 17,485,342.97
  5. Step 5: Solve for x
    x = 17,485,342.97/4,758.53
  6. Step 6: Final answer
    x = 3,674.53

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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.