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Finding the Fourth Proportional to 3,006.82, 4,510.83 and 1,059.58

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Solution

The fourth proportional to 3,006.82, 4,510.83 and 1,059.58 is: 1,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.82 : 4,510.83 = 1,059.58 : x
  2. Step 2: Convert to fraction form
    3,006.82/4,510.83 = 1,059.58/x
  3. Step 3: Cross multiply
    3,006.82x = 4,510.83 × 1,059.58
  4. Step 4: Simplify right side
    3,006.82x = 4,779,585.25
  5. Step 5: Solve for x
    x = 4,779,585.25/3,006.82
  6. Step 6: Final answer
    x = 1,589.58

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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.