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Finding the Fourth Proportional to 4,507.65, 6,756.68 and 2,659.64

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Solution

The fourth proportional to 4,507.65, 6,756.68 and 2,659.64 is: 3,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.65 : 6,756.68 = 2,659.64 : x
  2. Step 2: Convert to fraction form
    4,507.65/6,756.68 = 2,659.64/x
  3. Step 3: Cross multiply
    4,507.65x = 6,756.68 × 2,659.64
  4. Step 4: Simplify right side
    4,507.65x = 17,970,309.26
  5. Step 5: Solve for x
    x = 17,970,309.26/4,507.65
  6. Step 6: Final answer
    x = 3,986.62

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