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Finding the Fourth Proportional to 3,277.65, 4,917.69 and 1,523.51

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Solution

The fourth proportional to 3,277.65, 4,917.69 and 1,523.51 is: 2,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.65 : 4,917.69 = 1,523.51 : x
  2. Step 2: Convert to fraction form
    3,277.65/4,917.69 = 1,523.51/x
  3. Step 3: Cross multiply
    3,277.65x = 4,917.69 × 1,523.51
  4. Step 4: Simplify right side
    3,277.65x = 7,492,149.89
  5. Step 5: Solve for x
    x = 7,492,149.89/3,277.65
  6. Step 6: Final answer
    x = 2,285.83

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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.