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Finding the Fourth Proportional to 3,006.78, 4,509.27 and 1,275

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Solution

The fourth proportional to 3,006.78, 4,509.27 and 1,275 is: 1,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.78 : 4,509.27 = 1,275 : x
  2. Step 2: Convert to fraction form
    3,006.78/4,509.27 = 1,275/x
  3. Step 3: Cross multiply
    3,006.78x = 4,509.27 × 1,275
  4. Step 4: Simplify right side
    3,006.78x = 5,749,319.25
  5. Step 5: Solve for x
    x = 5,749,319.25/3,006.78
  6. Step 6: Final answer
    x = 1,912.12

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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.