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Finding the Fourth Proportional to 4,782.69, 7,175.25 and 2,009.52

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Solution

The fourth proportional to 4,782.69, 7,175.25 and 2,009.52 is: 3,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.69 : 7,175.25 = 2,009.52 : x
  2. Step 2: Convert to fraction form
    4,782.69/7,175.25 = 2,009.52/x
  3. Step 3: Cross multiply
    4,782.69x = 7,175.25 × 2,009.52
  4. Step 4: Simplify right side
    4,782.69x = 14,418,808.38
  5. Step 5: Solve for x
    x = 14,418,808.38/4,782.69
  6. Step 6: Final answer
    x = 3,014.79

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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.