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Finding the Fourth Proportional to 3,006.92, 4,512.36 and 1,059.12

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Solution

The fourth proportional to 3,006.92, 4,512.36 and 1,059.12 is: 1,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.92 : 4,512.36 = 1,059.12 : x
  2. Step 2: Convert to fraction form
    3,006.92/4,512.36 = 1,059.12/x
  3. Step 3: Cross multiply
    3,006.92x = 4,512.36 × 1,059.12
  4. Step 4: Simplify right side
    3,006.92x = 4,779,130.72
  5. Step 5: Solve for x
    x = 4,779,130.72/3,006.92
  6. Step 6: Final answer
    x = 1,589.38

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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.